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A035938 Number of partitions in parts not of the form 7k, 7k+2 or 7k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 2 are greater than 1. +0
1
1, 1, 2, 3, 3, 5, 6, 8, 10, 13, 16, 21, 25, 31, 38, 47, 56, 69, 82, 99, 118, 141, 166, 199, 233, 275, 322, 379, 440, 516, 598, 696, 805, 933, 1074, 1242, 1425, 1639, 1878, 2154, 2458, 2812, 3202, 3650, 4148, 4716, 5344, 6064, 6857, 7758, 8758, 9888 (list; graph; listen)
OFFSET

1,3

COMMENT

Case k=3,i=2 of Gordon Theorem.

REFERENCES

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

CROSSREFS

Sequence in context: A036410 A008670 A039852 this_sequence A024503 A061790 A107236

Adjacent sequences: A035935 A035936 A035937 this_sequence A035939 A035940 A035941

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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