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A290216 Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of g.f. Product_{i>0} (1 + Sum_{j=1..k} j*x^(j*i)). 6
1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 3, 2, 0, 1, 1, 3, 2, 2, 0, 1, 1, 3, 5, 6, 3, 0, 1, 1, 3, 5, 6, 7, 4, 0, 1, 1, 3, 5, 10, 10, 12, 5, 0, 1, 1, 3, 5, 10, 10, 18, 13, 6, 0, 1, 1, 3, 5, 10, 15, 22, 25, 22, 8, 0, 1, 1, 3, 5, 10, 15, 22, 29, 34, 26, 10, 0, 1, 1, 3, 5 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,13

LINKS

Seiichi Manyama, Antidiagonals n = 0..139, flattened

EXAMPLE

Square array begins:

   1, 1, 1,  1,  1, ...

   0, 1, 1,  1,  1, ...

   0, 1, 3,  3,  3, ...

   0, 2, 2,  5,  5, ...

   0, 2, 6,  6, 10, ...

   0, 3, 7, 10, 10, ...

CROSSREFS

Columns k=0..3 give A000007, A000009, A293204, A290269.

Rows n=0 gives A000012.

Main diagonal gives A077285.

Product_{i>0} (1 + Sum_{j=1..k} j*x^(j*i))^m: A290217 (m=-1), this sequence (m=1), A293377 (m=2).

Cf. A293305.

Sequence in context: A116604 A303913 A117406 * A293202 A280265 A292795

Adjacent sequences:  A290213 A290214 A290215 * A290217 A290218 A290219

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Oct 06 2017

STATUS

approved

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Last modified October 24 15:38 EDT 2021. Contains 348233 sequences. (Running on oeis4.)