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Search: id:A073570
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| A073570 |
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G.f.: Sum_{n >= 1} x^n/(1-x^n)^5. |
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+0
3
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| 1, 6, 16, 41, 71, 147, 211, 371, 511, 791, 1002, 1547, 1821, 2596, 3146, 4247, 4846, 6627, 7316, 9681, 10852, 13657, 14951, 19427, 20546, 25577, 27916, 34096, 35961, 44912, 46377, 56607, 59922, 70896, 74096, 90278, 91391, 108591, 113766, 133421
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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(1/24)*(sigma[4](n)+6*sigma[3](n)+11*sigma[2](n)+6*sigma[1](n)).
Inverse Moebius transform of pentatope numbers. - Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 31 2006
a(n) = SUM[d|n] (d+1)*(d+2)*(d+3)*(d+4)/24 = SUM[d|n] C(d+3,4) = SUM[d|n] A000332(d+3). - Jonathan Vos Post (jvospost2(AT)yahoo.com), Mar 31 2006. Corrected by Joshua Zucker, May 04 2007
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CROSSREFS
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Cf. A000005, A000203, A000332, A007437, A059358.
Adjacent sequences: A073567 A073568 A073569 this_sequence A073571 A073572 A073573
Sequence in context: A009955 A123205 A123607 this_sequence A107614 A010915 A126360
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KEYWORD
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nonn
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AUTHOR
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Vladeta Jovovic (vladeta(AT)Eunet.yu), Aug 31 2002
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EXTENSIONS
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Edited by njas at the suggestion of Andrew Plewe, May 31 2007
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