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A086159 Number of partitions of n into the first three triangular numbers, 1, 3, and 6. +0
1
1, 1, 1, 2, 2, 2, 4, 4, 4, 6, 6, 6, 9, 9, 9, 12, 12, 12, 16, 16, 16, 20, 20, 20, 25, 25, 25, 30, 30, 30, 36, 36, 36, 42, 42, 42, 49, 49, 49, 56, 56, 56, 64, 64, 64, 72, 72, 72, 81, 81, 81, 90, 90, 90, 100, 100, 100, 110 (list; graph; listen)
OFFSET

0,4

LINKS

Jan Snellman and Michael Paulsen, Enumeration of Concave Integer Partitions, J. Integer Seqs., Vol. 7, 2004.

FORMULA

G.f.: 1/((1-x)*(1-x^3)*(1-x^6))

CROSSREFS

Cf. A008620.

Sequence in context: A079438 A123050 A113694 this_sequence A029048 A086160 A029047

Adjacent sequences: A086156 A086157 A086158 this_sequence A086160 A086161 A086162

KEYWORD

nonn

AUTHOR

Jan Snellman (Jan.Snellman(AT)math.su.se), Aug 25 2003

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.


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