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A035937 Number of partitions in parts not of the form 7k, 7k+1 or 7k-1. Also number of partitions with no part of size 1 and differences between parts at distance 2 are greater than 1. +0
1
0, 1, 1, 2, 2, 3, 3, 5, 6, 8, 9, 13, 14, 19, 22, 28, 32, 41, 47, 59, 68, 83, 96, 117, 134, 161, 186, 221, 254, 301, 344, 405, 464, 541, 619, 720, 820, 949, 1081, 1245, 1414, 1624, 1840, 2106, 2384, 2717, 3070, 3492, 3936, 4464, 5026, 5684, 6388, 7210 (list; graph; listen)
OFFSET

1,4

COMMENT

Case k=3,i=1 of Gordon Theorem.

REFERENCES

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

CROSSREFS

Sequence in context: A035371 A035577 A002723 this_sequence A020999 A079955 A136417

Adjacent sequences: A035934 A035935 A035936 this_sequence A035938 A035939 A035940

KEYWORD

nonn,easy

AUTHOR

Olivier Gerard (ogerard(AT)ext.jussieu.fr)

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.


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