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A035998 Number of partitions of n into parts not of the form 23k, 23k+10 or 23k-10. Also number of partitions with at most 9 parts of size 1 and differences between parts at distance 10 are greater than 1. +0
1
1, 2, 3, 5, 7, 11, 15, 22, 30, 41, 55, 75, 97, 129, 167, 217, 277, 356, 449, 570, 714, 895, 1112, 1384, 1705, 2104, 2578, 3157, 3844, 4680, 5665, 6857, 8261, 9943, 11923, 14286, 17052, 20339, 24184, 28724, 34023, 40260, 47515, 56024, 65904 (list; graph; listen)
OFFSET

1,2

COMMENT

Case k=11,i=10 of Gordon Theorem.

REFERENCES

G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p. 109.

CROSSREFS

Adjacent sequences: A035995 A035996 A035997 this_sequence A035999 A036000 A036001

Sequence in context: A088669 A091580 A023030 this_sequence A137792 A039905 A036009

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (olivier.gerard(AT)gmail.com)

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.


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