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A308674 Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where A(n,k) is Sum_{d|n} d^(d^k). 4
1, 1, 3, 1, 5, 4, 1, 17, 28, 7, 1, 257, 19684, 261, 6, 1, 65537, 7625597484988, 4294967313, 3126, 12, 1, 4294967297, 443426488243037769948249630619149892804, 340282366920938463463374607431768211713, 298023223876953126, 46688, 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 - x^j)^(j^(j^k-1))).

EXAMPLE

Square array begins:

   1,   1,          1,                                       1, ...

   3,   5,         17,                                     257, ...

   4,  28,      19684,                           7625597484988, ...

   7, 261, 4294967313, 340282366920938463463374607431768211713, ...

CROSSREFS

Columns k=0..3 give A000203, A062796, A308671, A308672.

Cf. A308676.

Sequence in context: A319278 A294579 A308502 * A308676 A131809 A016574

Adjacent sequences:  A308671 A308672 A308673 * A308675 A308676 A308677

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Jun 16 2019

STATUS

approved

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Last modified August 22 05:00 EDT 2019. Contains 326172 sequences. (Running on oeis4.)