A073215 - OEIS

%I #31 Mar 01 2022 09:15:17

%S 2,24,46,530,552,1058,12168,12190,12696,24334,279842,279864,280370,

%T 292008,559682,6436344,6436366,6436872,6448510,6716184,12872686,

%U 148035890,148035912,148036418,148048056,148315730,154472232,296071778

%N Sum of two powers of 23.

%H G. C. Greubel, <a href="/A073215/b073215.txt">Table of n, a(n) for n = 0..999</a> [Offset changed to 0 by _Georg Fischer_, Mar 01 2022]

%F T(n, m) = 23^n + 23^m, for n >= 0 and m in [0..n].

%F Bivariate g.f.: (2 - 24*x) / ((1 - x) * (1 - 23*x) * (1 - 23*x*y)). - _J. Douglas Morrison_, Jul 29 2021

%e T(2,0) = 23^2 + 23^0 = 530.

%e Table begins:

%e        2;

%e       24,     46;

%e      530,    552,   1058;

%e    12168,  12190,  12696,  24334;

%e   279842, 279864, 280370, 292008, 559682;

%e   ...

%t With[{nn=30},Take[Union[Total/@Tuples[23^Range[0,nn],2]],nn]] (* _Harvey P. Dale_, Oct 16 2017 *)

%Y Cf. A009967.

%Y Equals twice A072822.

%Y 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), A073214 (19).

%K easy,nonn,tabl

%O 0,1

%A _Jeremy Gardiner_, Jul 20 2002