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A308676 Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is Sum_{d|n} d^(d^k * n/d). 4
1, 1, 3, 1, 5, 4, 1, 17, 28, 9, 1, 257, 19684, 273, 6, 1, 65537, 7625597484988, 4294967553, 3126, 24, 1, 4294967297, 443426488243037769948249630619149892804, 340282366920938463463374607431768276993, 298023223876953126, 47450, 8 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Seiichi Manyama, Antidiagonals n = 1..9, flattened

FORMULA

L.g.f. of column k: -log(Product_{j>=1} (1 - j^(j^k) * x^j)^(1/j)).

EXAMPLE

Square array begins:

   1,    1,          1,                                       1, ...

   3,    5,         17,                                     257, ...

   4,   28,      19684,                           7625597484988, ...

   9,  273, 4294967553, 340282366920938463463374607431768276993, ...

CROSSREFS

Columns k=0..3 give A055225, A023887, A308670, A308675.

Cf. A308674.

Sequence in context: A294579 A308502 A308674 * A131809 A016574 A210560

Adjacent sequences:  A308673 A308674 A308675 * A308677 A308678 A308679

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Jun 16 2019

STATUS

approved

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Last modified November 13 15:41 EST 2019. Contains 329106 sequences. (Running on oeis4.)