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Search: id:A100932
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| A100932 |
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Number of partitions of n such that multiplicities of parts are divisors of n. |
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+0
1
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| 1, 2, 3, 5, 4, 10, 6, 17, 14, 26, 13, 66, 19, 63, 60, 126, 39, 243, 55, 338, 179, 310, 105, 1154, 209, 637, 482, 1458, 257, 3329, 341, 2878, 1200, 2386, 1178, 11262, 761, 4400, 2834, 14512, 1261, 23052, 1611, 18255, 10551, 13858, 2591, 83810, 4678, 38243
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OFFSET
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1,2
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FORMULA
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Coefficient of x^n in expansion of Product_{k=1..n} (1+Sum_{d|n} x^(d*k)).
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MAPLE
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with(numtheory): seq(coeff(mul(1+add(x^(d*k), d=divisors(n)), k=1..n), x, n), n=1..60); (C. Ronaldo)
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CROSSREFS
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Cf. A018818.
Sequence in context: A124653 A085947 A069202 this_sequence A064360 A075158 A066417
Adjacent sequences: A100929 A100930 A100931 this_sequence A100933 A100934 A100935
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KEYWORD
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easy,nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Jan 11 2005
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EXTENSIONS
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More terms from C. Ronaldo (aga_new_ac(AT)hotmail.com), Jan 19 2005
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