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 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,8 LINKS Seiichi Manyama, Ascending antidiagonals n = 0..139, flattened H. Wilf, A combinatorial determinant, arXiv:math/9809120 [math.CO], 1998. FORMULA i-th 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=0-10 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 EXTENSIONS More terms from Erich Friedman STATUS approved

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Last modified August 21 14:53 EDT 2018. Contains 313954 sequences. (Running on oeis4.)