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Search: id:A072707
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A072707 Number of non-unimodal compositions of n into distinct terms. +0
2
0, 0, 0, 0, 0, 0, 2, 2, 4, 6, 24, 26, 46, 64, 100, 224, 276, 416, 590, 850, 1144, 2214, 2644, 3938, 5282, 7504, 9776, 13704, 21984, 27632, 38426, 51562, 69844, 91950, 123504, 159658, 246830, 303400, 416068, 540480, 730268, 933176, 1248110 (list; graph; listen)
OFFSET

0,7

FORMULA

a(n) =A032020(n)-A072706(k) =sum_k A059204(k)*A060016(n, k)

EXAMPLE

a(6)=2 since 6 can be written as 2+1+3 or 3+1+2.

CROSSREFS

Sequence in context: A134041 A069925 A080611 this_sequence A086105 A084701 A113815

Adjacent sequences: A072704 A072705 A072706 this_sequence A072708 A072709 A072710

KEYWORD

nonn

AUTHOR

Henry Bottomley (se16(AT)btinternet.com), Jul 04 2002

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Last modified November 24 19:42 EST 2009. Contains 167435 sequences.


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