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A101289 Inverse Moebius transform of 5-simplex numbers A000389. +0
2
1, 7, 22, 63, 127, 280, 463, 855, 1309, 2135, 3004, 4704, 6189, 9037, 11776, 16359, 20350, 27901, 33650, 44695, 53614, 68790, 80731, 103776, 118882, 148701, 171220, 210469, 237337, 292292, 324633, 393351, 438922, 522298, 576346, 690333, 749399 (list; graph; listen)
OFFSET

1,2

FORMULA

a(n) = SUM[d|n] d*(d+1)*(d+2)*(d+3)*(d+4)/120. a(n) = SUM[d|n] C(d,5). a(n) = SUM[d|n] A000389(d). a(n) = SUM[d|n] (d^5-10*d^4+35*d^3-50*d^2+24*d)/120

CROSSREFS

See also: A007437 = inverse Moebius transform of triangular numbers, A116963 = inverse Moebius transform of tetrahedral numbers. Cf. A073570.

Cf. A000389, A007437, A116963.

Sequence in context: A101120 A151717 A122238 this_sequence A085287 A151822 A041913

Adjacent sequences: A101286 A101287 A101288 this_sequence A101290 A101291 A101292

KEYWORD

easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Mar 31 2006

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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