

A045847


Matrix whose (i,j)th entry is number of representations of j as a sum of i squares of nonnegative integers; read by diagonals.


12



1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 1, 4, 3, 0, 1, 0, 1, 5, 6, 1, 2, 0, 0, 1, 6, 10, 4, 3, 2, 0, 0, 1, 7, 15, 10, 5, 6, 0, 0, 0, 1, 8, 21, 20, 10, 12, 3, 0, 0, 0, 1, 9, 28, 35, 21, 21, 12, 0, 1, 1, 0, 1, 10, 36, 56, 42, 36, 30, 4, 3, 2, 0, 0, 1, 11, 45, 84, 78, 63, 61, 20, 6, 6, 2, 0, 0
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OFFSET

0,8


LINKS

Seiichi Manyama, Ascending antidiagonals n = 0..139, flattened
H. Wilf, A combinatorial determinant, arXiv:math/9809120 [math.CO], 1998.


FORMULA

ith row is expansion of (1+x+x^4+x^9+...)^i.


EXAMPLE

Rows are
1,0,0,..;
1,1,0,0,1,0..;
1,2,1,0,2,2,..;
1,3,3,1,...


CROSSREFS

Rows k=010 give: A000007, A010052, A000925, A002102, A014110, A038671, A045848, A045849, A045850, A045851, A045852.
Diagonal gives A287617.
Antidiagonal sums give A302018.
Sequence in context: A290054 A290430 A290429 * A137586 A291170 A275001
Adjacent sequences: A045844 A045845 A045846 * A045848 A045849 A045850


KEYWORD

nonn,tabl,easy


AUTHOR

N. J. A. Sloane


EXTENSIONS

More terms from Erich Friedman


STATUS

approved



