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A133732 A054525 * A000041. +0
1
1, 0, 1, 2, 4, 5, 10, 12, 20, 25, 41, 47, 76, 90, 129, 161, 230, 270, 384, 458, 615, 750, 1001, 1187, 1570, 1881, 2414, 2907, 3717, 4400, 5603, 6666, 8306, 9912, 12295, 14537, 17976, 21252, 25937, 30683, 37337, 43861, 53173, 62467, 75020, 88132 (list; graph; listen)
OFFSET

0,4

COMMENT

A000041 = (1, 1, 2, 3, 5, 7, 11, 15, 22, 30, 42, 56, 77,...).

FORMULA

Mobius transform of A000041, the partition numbers.

EXAMPLE

a(3) = 2 = (0, -1, 0, 1) dot (1, 1, 2, 3) = (0, -1, 0, 3).

MAPLE

read("transforms") : A000041 := proc(n) combinat[numbpart](n) ; end: a000041 := [seq(A000041(n), n=0..150)] ; a133732 := MOBIUS(a000041) ; for i from 1 to nops(a133732) do printf("%d, ", op(i, a133732)) ; od: [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 19 2009]

CROSSREFS

Cf. A054525.

Sequence in context: A047611 A120491 A022944 this_sequence A128215 A097132 A013578

Adjacent sequences: A133729 A133730 A133731 this_sequence A133733 A133734 A133735

KEYWORD

nonn

AUTHOR

Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 22 2007

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jan 19 2009

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


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