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# Index to OEIS: Section Pow

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# Index to OEIS: Section Pow

[ Aa | Ab | Al | Am | Ap | Ar | Ba | Be | Bi | Bl | Bo | Br | Ca | Ce | Ch | Cl | Coa | Coi | Com | Con | Cor | Cu | Cy | Da | De | Di | Do | Ea | Ed | El | Eu | Fa | Fe | Fi | Fo | Fu | Ga | Ge | Go | Gra | Gre | Ha | He | Ho | Ia | In | J | K | La | Lc | Li | Lo | Lu | M | Mag | Map | Mat | Me | Mo | Mu | N | Na | Ne | Ni | No | Nu | O | Pac | Par | Pas | Pea | Per | Ph | Poi | Pol | Pos | Pow | Pra | Pri | Pro | Ps | Qua | Que | Ra | Rea | Rel | Res | Ro | Ru | Sa | Se | Si | Sk | So | Sp | Sq | St | Su | Sw | Ta | Te | Th | To | Tra | Tri | Tu | U | V | Wa | We | Wi | X | Y | Z | 1 | 2 | 3 | 4 ]

power set, chains in: A007047
power train: see powertrain
power-sum numbers: A007603*

##### powerful numbers , sequences related to :
powerful numbers: (main definition: p|n => p²|n etc): A001694* (square-full), A005934* (highly powerful), A036966* (cube-full);
(perfect digital invariant (PDI) related): A007532* ((2): sum of powers of digits), A023052* ((3): sum of a fixed power of the digits, aka PDI), A061862 ((2a): power 0 is allowed but 0^k = 0), A134703* ((2b): here 0^0 = 1).
powerful numbers: see also (1): A050240 (multiple representations as (2)), A050241 (variant), A057521 (powerful part), A060859, A113839, A115645, A115651, A115676, A115686, A115687, A115689, A115691
powerful numbers: see also (2): A115693, A115695, A115697, A116064, A140172
powerful numbers: see also squarefull numbers
##### powers, sequences related to :
powers (1):: A006899, A000079, A001357, A000244, A000290, A000302, A000351, A000400, A000420, A000578, A001018, A001019, A001020, A001021
powers (2):: A000468, A001022, A001023, A001024, A001025, A001026, A001027, A001029, A001682, A000584, A001014, A001015, A001016, A001017
powers of 2: A000079*
powers of 2: see also (1): A000051, A000225, A000799, A000918, A001146, A001357, A001370, A002662, A004094, A004642, A004643, A004644
powers of 2: see also (2): A004645, A004646, A004647, A004651, A004653, A004654, A004655, A005126, A006127, A006899, A007689, A030622
powers of 2: see also (3): A030623, A030624, A034906
powers of 2: The following are parallel families: A000079 (2^n), A004094 (2^n reversed), A028909 (2^n sorted up), A028910 (2^n sorted down), A036447 (double and reverse), A057615 (double and sort up), A263451 (double and sort down); A000244 (3^n), A004167 (3^n reversed), A321540 (3^n sorted up), A321539 (3^n sorted down), A163632 (triple and reverse), A321542 (triple and sort up), A321541 (triple and sort down).
powers of 3: A000244*
powers of 3: see also (1): A002379, A002380, A001047, A000244, A004167, A004656, A004658, A004659, A004660, A004661, A004662
powers of 3: see also (2): A004663, A004665, A004666, A004667, A004668, A004669, A006899
powers of 3: The following are parallel families: A000079 (2^n), A004094 (2^n reversed), A028909 (2^n sorted up), A028910 (2^n sorted down), A036447 (double and reverse), A057615 (double and sort up), A263451 (double and sort down); A000244 (3^n), A004167 (3^n reversed), A321540 (3^n sorted up), A321539 (3^n sorted down), A163632 (triple and reverse), A321542 (triple and sort up), A321541 (triple and sort down).
powers of 4: A000302*
powers of 5: A000351*
powers of 6: A000400*
powers of 7: A000420*
powers of 8: A001018*
powers of 9: A001019*
powers of 10 written in base 8: A000468
powers of 10: A011557*, powers of 11: A001020, powers of 12: A001021, powers of 13: A001022, powers of 14: A001023,
powers of 15: A001024, powers of 16: A001025, powers of 17: A001026, powers of 18: A001027, powers of 19: A001029.
powers of 20: A009964; powers of 21: A009965; powers of 22: A009966; powers of 23: A009967; powers of 24: A009968;
powers of 25: A009969; powers of 26: A009970; powers of 27: A009971; powers of 28: A009972; powers of 29: A009973.
powers of 30: A009974; powers of 31: A009975; powers of 32: A009976; powers of 33: A009977; powers of 34: A009978;
powers of 35: A009979; powers of 36: A009980; powers of 37: A009981; powers of 38: A009982; powers of 39: A009983.
powers of 40: A009984; powers of 41: A009985; powers of 42: A009986; powers of 43: A009987; powers of 44: A009988;
powers of 45: A009989; powers of 46: A009990; powers of 47: A009991; powers of 48: A009992;
powers of a prime but not prime: A025475
powers of irrational constants, rounded down / up / to nearest integer:
sqrt(2): A017910 (floor), A017912 (ceiling), A017911 (round)
sqrt(2 Pi)^n: A001674 (floor), A001698 (ceiling), A001675 (round)
e^n: A000149 (floor), A001671 (ceiling), A000227 (round)
Pi^n: A001672 (floor), A001673 (ceiling), A002160 (round)
(Pi+e)^n: A121831 (floor), A121838 (ceiling)
(Pi*e)^n: A062541 (floor), A121246 (ceiling)
(Pi/e)^n: A032739 (floor), A121279 (ceiling)
((1+sqrt(5))/2)^n: A014217 (floor)
others (floor): A080039, A125890, A125891, A125892, A125893, A125894, A125895, A125896, A125898, A125899, A138281, A240523, A240572, A240671, A240733, A240734, A240735, A240840, A240841
powers that be, A004143
powers, partial sums of : see partial sums.
powers, not the difference of two: A074981*, A074980, A069586, A023057, A066510, A075823
powers, perfect: A001597*, A007916
powers, the difference of two: A075788, A075789, A075790, A075791
##### powertrain function, sequences related to :
powertrain function: A133500*, A133506, A133507
powertrain function: fixed points: A135385
powertrain function: high point in trajectory of n: A135381; records: A135382
powertrain function: length of trajectory of n: A133501, A133502
powertrain function: numbers that converge to 2592: A135384
powertrain function: records for length of trajectory: A133503, A133508
powertrain function: records: A133504, A133505
powertrain function: see also persistence

[ Aa | Ab | Al | Am | Ap | Ar | Ba | Be | Bi | Bl | Bo | Br | Ca | Ce | Ch | Cl | Coa | Coi | Com | Con | Cor | Cu | Cy | Da | De | Di | Do | Ea | Ed | El | Eu | Fa | Fe | Fi | Fo | Fu | Ga | Ge | Go | Gra | Gre | Ha | He | Ho | Ia | In | J | K | La | Lc | Li | Lo | Lu | M | Mag | Map | Mat | Me | Mo | Mu | N | Na | Ne | Ni | No | Nu | O | Pac | Par | Pas | Pea | Per | Ph | Poi | Pol | Pos | Pow | Pra | Pri | Pro | Ps | Qua | Que | Ra | Rea | Rel | Res | Ro | Ru | Sa | Se | Si | Sk | So | Sp | Sq | St | Su | Sw | Ta | Te | Th | To | Tra | Tri | Tu | U | V | Wa | We | Wi | X | Y | Z | 1 | 2 | 3 | 4 ]