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A102420 Number of partitions of n with exactly k = 5 parts and each part p <= 5. +0
3
0, 0, 0, 0, 0, 1, 1, 2, 3, 5, 6, 8, 9, 11, 11, 12, 11, 11, 9, 8, 6, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 (list; graph; listen)
OFFSET

0,8

COMMENT

There are only 26 nonzero terms.

LINKS

Thomas Wieder, Home Page.

Thomas Wieder, (Old) Home Page.

FORMULA

G.f.: = z^5+z^6+2*z^7+3*z^8+5*z^9+6*z^10+8*z^11+9*z^12+11*z^13+11*z^14+12*z^15+ 11*z^16+11*z^17+9*z^18+8*z^19+6*z^20+5*z^21+3*z^22+2*z^23+z^24+z^25

EXAMPLE

a(8)= 3 because we can write 8=1+1+1+2+3 or 1+1+1+1+4 or 1+1+2+2+2.

CROSSREFS

Cf. A000041, A102422, A036606.

Sequence in context: A005837 A098161 A026194 this_sequence A036606 A051837 A026371

Adjacent sequences: A102417 A102418 A102419 this_sequence A102421 A102422 A102423

KEYWORD

easy,nonn

AUTHOR

Thomas Wieder (wieder.thomas(AT)t-online.de), Jan 09 2005

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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