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A035989 Number of partitions in parts not of the form 23k, 23k+1 or 23k-1. Also number of partitions with no part of size 1 and differences between parts at distance 10 are greater than 1. +0
2
0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 34, 41, 55, 66, 88, 105, 137, 165, 209, 252, 318, 381, 474, 569, 700, 837, 1024, 1219, 1480, 1760, 2120, 2514, 3015, 3561, 4248, 5008, 5944, 6986, 8261, 9680, 11402, 13331, 15641, 18240, 21338, 24817, 28941 (list; graph; listen)
OFFSET

1,4

COMMENT

Case k=11,i=1 of Gordon Theorem.

REFERENCES

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

CROSSREFS

Adjacent sequences: A035986 A035987 A035988 this_sequence A035990 A035991 A035992

Sequence in context: A035962 A035970 A035979 this_sequence A036000 A002865 A085811

KEYWORD

nonn,easy

AUTHOR

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

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Last modified October 13 02:37 EDT 2008. Contains 145008 sequences.


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