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A277938 Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j>=1} (1+x^j)^(j*k) in powers of x. 6
1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 3, 5, 5, 0, 1, 4, 9, 14, 8, 0, 1, 5, 14, 28, 30, 16, 0, 1, 6, 20, 48, 72, 68, 28, 0, 1, 7, 27, 75, 141, 183, 145, 49, 0, 1, 8, 35, 110, 245, 396, 443, 298, 83, 0, 1, 9, 44, 154, 393, 751, 1058, 1026, 600, 142, 0, 1, 10, 54, 208 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,8

LINKS

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

FORMULA

G.f. of column k: Product_{j>=1} (1+x^j)^(j*k).

EXAMPLE

Square array begins:

   1, 1,  1,  1,   1, ...

   0, 1,  2,  3,   4, ...

   0, 2,  5,  9,  14, ...

   0, 5, 14, 28,  48, ...

   0, 8, 30, 72, 141, ...

CROSSREFS

Columns k=0-4 give: A000007, A026007, A026011, A027346, A027906.

Rows n=0-3 give: A000012, A001477, A000096, A005586.

Main diagonal gives A270922.

Antidiagonal sums give A299167.

Cf. A276554, A279928.

Sequence in context: A172236 A191646 A297321 * A130020 A292870 A306704

Adjacent sequences:  A277935 A277936 A277937 * A277939 A277940 A277941

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Apr 11 2017

STATUS

approved

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Last modified November 30 19:02 EST 2021. Contains 349424 sequences. (Running on oeis4.)