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Search: id:A045847
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| A045847 |
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Matrix whose (i,j)-th entry is number of representations of j as a sum of i squares of nonnegative integers; read by diagonals. |
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+0
1
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| 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; listen)
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OFFSET
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0,8
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REFERENCES
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H. Wilf, A combinatorial determinant, preprint 1998.
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LINKS
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H. Wilf, Home page
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FORMULA
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i-th row is expansion of (1+x+x^4+x^9+...)^i.
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EXAMPLE
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Rows are 1,0,0,..; 1,1,0,0,1,0..; 1,2,1,0,2,2,..; 1,3,3,1,...
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CROSSREFS
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Sequence in context: A114510 A077029 A052553 this_sequence A137586 A157608 A145224
Adjacent sequences: A045844 A045845 A045846 this_sequence A045848 A045849 A045850
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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EXTENSIONS
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More terms from Erich Friedman (erich.friedman(AT)stetson.edu).
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