A069253 -id:A069253

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A316723

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of Product_{j=1..k} (1+x^j)/(1-x^j).

+10
4

1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 4, 2, 0, 1, 2, 4, 6, 2, 0, 1, 2, 4, 8, 8, 2, 0, 1, 2, 4, 8, 12, 10, 2, 0, 1, 2, 4, 8, 14, 18, 12, 2, 0, 1, 2, 4, 8, 14, 22, 26, 14, 2, 0, 1, 2, 4, 8, 14, 24, 34, 34, 16, 2, 0, 1, 2, 4, 8, 14, 24, 38, 50, 44, 18, 2, 0, 1, 2, 4, 8, 14, 24, 40, 58, 70, 56, 20, 2, 0

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,5

LINKS

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

EXAMPLE

Square array begins:

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

0, 2, 2, 2, 2, 2, 2, ...

0, 2, 4, 4, 4, 4, 4, ...

0, 2, 6, 8, 8, 8, 8, ...

0, 2, 8, 12, 14, 14, 14, ...

0, 2, 10, 18, 22, 24, 24, ...

0, 2, 12, 26, 34, 38, 40, ...

CROSSREFS

Columns k=0-10 give: A000007, A040000, A004277, A053799, A053798, A053800, A053801, A053802, A069251, A069252, A069253.

Diagonal gives A015128.

KEYWORD

nonn,tabl

AUTHOR

Seiichi Manyama, Jul 11 2018

STATUS

approved

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