A264871 Array read by antidiagonals: T(n,m) = (1+2^n)^m; n,m>=0.

1, 2, 1, 4, 3, 1, 8, 9, 5, 1, 16, 27, 25, 9, 1, 32, 81, 125, 81, 17, 1, 64, 243, 625, 729, 289, 33, 1, 128, 729, 3125, 6561, 4913, 1089, 65, 1, 256, 2187, 15625, 59049, 83521, 35937, 4225, 129, 1, 512, 6561, 78125, 531441, 1419857, 1185921, 274625, 16641, 257

Offset

0,2

Links

Table of n, a(n) for n=0..53.

Formula

G.f. for row n: 1/(1-(1+2^n)*x). - R. J. Mathar, Dec 15 2015

Example

       1,       2,       4,       8,      16,      32,
       1,       3,       9,      27,      81,     243,
       1,       5,      25,     125,     625,    3125,
       1,       9,      81,     729,    6561,   59049,
       1,      17,     289,    4913,   83521, 1419857,
       1,      33,    1089,   35937, 1185921,39135393,

Mathematica

Reverse /@ Table[(1 + 2^(n - m))^m, {n, 0, 9}, {m, 0, n}] // Flatten (* Michael De Vlieger, Nov 27 2015 *)

Crossrefs

Cf. A000079 (row 0), A000244 (row 1), A000351 (row 2), A001019 (row 3), A001026 (row 4), A009977 (row 5), A000051 (column 1), A028400 (column 2), A136516 (main diagonal), A165327 (upper subdiagonal).

Sequence in context: A348702 A051129 A319075 * A067410 A213947 A348482

Adjacent sequences: A264868 A264869 A264870 * A264872 A264873 A264874

Keyword

nonn,tabl,easy

Author

R. J. Mathar, Nov 27 2015

Status

approved