A073214 Sum of two powers of 19.

2, 20, 38, 362, 380, 722, 6860, 6878, 7220, 13718, 130322, 130340, 130682, 137180, 260642, 2476100, 2476118, 2476460, 2482958, 2606420, 4952198, 47045882, 47045900, 47046242, 47052740, 47176202, 49521980, 94091762, 893871740, 893871758, 893872100

Offset

0,1

Links

T. D. Noe, Rows n = 0..100 of triangle, flattened

Formula

T(n,m) = 19^n + 19^m for n >= 0 and m in [0..n].

Bivariate g.f.: (2 - 20*x) / ((1 - x) * (1 - 19*x) * (1 - 19*x*y)). - J. Douglas Morrison, Jul 28 2021

Example

T(2,0) = 19^2 + 19^0 = 362.
Table begins:
       2;
      20,     38;
     362,    380,    722;
    6860,   6878,   7220,  13718;
  130322, 130340, 130682, 137180, 260642;
  ...

Mathematica

Flatten[Table[Table[19^n + 19^m, {m, 0, n}], {n, 0, 7}]] (* T. D. Noe, Jun 18 2013 *)
Total/@Tuples[19^Range[0, 10], 2]//Union (* Harvey P. Dale, Jan 04 2019 *)

Crossrefs

Cf. A001029.

Equals twice A073222.

Sums of two powers of n: A073423 (0), A007395 (1), A173786 (2), A055235 (3), A055236 (4), A055237 (5), A055257 (6), A055258 (7), A055259 (8), A055260 (9), A052216 (10), A073211 (11), A194887 (12), A072390 (13), A055261 (16), A073213 (17), A073215 (23).

Sequence in context: A062133 A329729 A050684 * A293356 A269669 A293930

Adjacent sequences: A073211 A073212 A073213 * A073215 A073216 A073217

Keyword

easy,nonn,tabl

Author

Jeremy Gardiner, Jul 20 2002

Status

approved