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A068980 Number of partitions of n into nonzero tetrahedral numbers. 15
1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 11, 11, 12, 12, 15, 15, 16, 16, 19, 19, 22, 22, 25, 25, 28, 29, 32, 32, 35, 36, 42, 42, 45, 46, 52, 53, 56, 57, 63, 64, 70, 71, 77, 78, 84, 87, 94, 95, 101, 104, 115, 116, 122, 125, 136, 139, 146, 149, 160, 163, 175 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..70.

Zhicheng Gao, Andrew MacFie and Daniel Panario, Counting words by number of occurrences of some patterns, The Electronic Journal of Combinatorics, 18 (2011), #p143.

FORMULA

G.f.: 1 / prod(k>=3, 1 - z^binomial(k, 3) );

EXAMPLE

a(10)=4 because we can write 10 = 10 = 4 + 4 + 1 + 1 = 4 + 1 + 1 + 1 + 1 + 1 = 1 + ... + 1.

CROSSREFS

See also A007294 (partitions into triangular numbers), A000292 (tetrahedral numbers).

Cf. A226748, A003108.

Sequence in context: A071903 A091372 A185322 * A280950 A279135 A053266

Adjacent sequences:  A068977 A068978 A068979 * A068981 A068982 A068983

KEYWORD

easy,nonn

AUTHOR

Franklin T. Adams-Watters, Apr 01 2002

STATUS

approved

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Last modified May 30 06:51 EDT 2017. Contains 287302 sequences.