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A035979 Number of partitions in parts not of the form 21k, 21k+1 or 21k-1. Also number of partitions with no part of size 1 and differences between parts at distance 9 are greater than 1. +0
1
0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 34, 41, 55, 66, 88, 105, 136, 164, 208, 251, 316, 378, 470, 564, 693, 828, 1012, 1204, 1460, 1735, 2088, 2474, 2964, 3498, 4169, 4911, 5823, 6838, 8079, 9459, 11131, 13003, 15243, 17761, 20759, 24123, 28107 (list; graph; listen)
OFFSET

1,4

COMMENT

Case k=10,i=1 of Gordon Theorem.

REFERENCES

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

CROSSREFS

Sequence in context: A035955 A035962 A035970 this_sequence A035989 A036000 A002865

Adjacent sequences: A035976 A035977 A035978 this_sequence A035980 A035981 A035982

KEYWORD

nonn,easy

AUTHOR

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

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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