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A025161 Number of partitions of n with distinct parts p(i) such that if i != j, then |p(i) - p(j)| >= 7. 3
1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 11, 12, 14, 15, 17, 19, 21, 23, 26, 28, 31, 34, 37, 40, 44, 47, 51, 55, 59, 63, 68, 73, 78, 84, 90, 97, 104, 112, 120, 130, 139, 150, 161, 174, 186, 201, 215, 232, 248, 267, 285, 307, 327, 351, 374, 401 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,9

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..1000

FORMULA

G.f.: Sum(x^(7/2*k^2-5/2*k)/Product(1-x^i, i=1..k), k=1..infinity). - Vladeta Jovovic, Aug 12 2004

CROSSREFS

Cf. A003114, A025157-A025162.

Column k=7 of A194543.

Sequence in context: A157271 A025162 A248180 * A021895 A025160 A026831

Adjacent sequences:  A025158 A025159 A025160 * A025162 A025163 A025164

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

More terms from Naohiro Nomoto, Feb 27 2002

STATUS

approved

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Last modified August 21 05:59 EDT 2017. Contains 290862 sequences.