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A308502 Square array A(n,k), n >= 1, k >= 0, read by antidiagonals: A(n,k) = Sum_{d|n} d^(n/d + k). 4
1, 1, 3, 1, 5, 4, 1, 9, 10, 9, 1, 17, 28, 25, 6, 1, 33, 82, 81, 26, 24, 1, 65, 244, 289, 126, 80, 8, 1, 129, 730, 1089, 626, 330, 50, 41, 1, 257, 2188, 4225, 3126, 1604, 344, 161, 37, 1, 513, 6562, 16641, 15626, 8634, 2402, 833, 163, 68, 1, 1025, 19684, 66049, 78126, 49100, 16808, 5249, 973, 290, 12 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Seiichi Manyama, Antidiagonals n = 1..140, flattened

FORMULA

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

EXAMPLE

Square array begins:

    1,  1,   1,    1,    1,     1, ...

    3,  5,   9,   17,   33,    65, ...

    4, 10,  28,   82,  244,   730, ...

    9, 25,  81,  289, 1089,  4225, ...

    6, 26, 126,  626, 3126, 15626, ...

   24, 80, 330, 1604, 8634, 49100, ...

CROSSREFS

Columns k=0..2 give A055225, A078308, A296601.

Cf. A279394, A308504.

Sequence in context: A124883 A319278 A294579 * A308674 A308676 A131809

Adjacent sequences:  A308499 A308500 A308501 * A308503 A308504 A308505

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Jun 02 2019

STATUS

approved

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Last modified October 13 16:50 EDT 2019. Contains 327968 sequences. (Running on oeis4.)