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A081175 Numbers of the form {sum(i^j,i=1..k), j>1, k>1}. 1
1, 3, 5, 6, 9, 10, 14, 15, 17, 21, 28, 30, 33, 36, 45, 55, 65, 66, 78, 91, 98, 100, 105, 120, 129, 136, 140, 153, 171, 190, 204, 210, 225, 231, 253, 257, 276, 285, 300, 325, 351, 354, 378, 385, 406, 435, 441, 465, 496, 506, 513, 528, 561, 595, 630, 650, 666, 703 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

COMMENTS

Intersection of sums of k-th powers, k = 1..infinity.

EXAMPLE

30 is in the set because 30 = 1^2 + 2^2 + 3^2 + 4^2 (j=2, k=4).

MATHEMATICA

Take[ Union[ Flatten[ Table[ Sum[ i^j, {i, 1, n}], {j, 1, 9}, {n, 1, 40}]]], 60]

CROSSREFS

Cf. A000217, A000330, A000537, A000538, A000539, A000540, A000541, A000542, A007487, A023002.

Sequence in context: A167384 A112649 A050083 * A094598 A122194 A053091

Adjacent sequences:  A081172 A081173 A081174 * A081176 A081177 A081178

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Apr 18 2003

EXTENSIONS

Corrected and extended by Robert G. Wilson v (rgwv(AT)rgwv.com), May 08 2003

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Last modified February 15 23:53 EST 2012. Contains 205860 sequences.