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Search: id:A100346
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| A100346 |
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Number of compositions of n into divisors of n. |
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+0
2
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| 1, 2, 2, 6, 2, 25, 2, 56, 20, 129, 2, 1628, 2, 742, 450, 5272, 2, 45316, 2, 83344, 3321, 29967, 2, 5105722, 572, 200390, 26426, 5469759, 2, 154004511, 2, 47350056, 226020, 9262157, 51886, 15140335650, 2, 63346598, 2044895, 14700095926, 2
(list; graph; listen)
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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 1/(1-Sum_{d divides n} x^d ).
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MAPLE
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with(numtheory): G:=proc(n) local DV: DV:=divisors(n): 1/(1-sum(x^DV[j], j=1..tau(n))) end: seq(coeff(series(G(n), x=0, 80), x^n), n=1..44); (Deutsch)
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CROSSREFS
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Cf. A018818.
Sequence in context: A038667 A013608 A130674 this_sequence A130478 A128623 A085738
Adjacent sequences: A100343 A100344 A100345 this_sequence A100347 A100348 A100349
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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), Dec 29 2004
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EXTENSIONS
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More terms from Emeric Deutsch (deutsch(AT)duke.poly.edu), Feb 16 2005
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