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A035939 Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 2 are greater than 1. +0
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1, 2, 2, 3, 4, 6, 7, 10, 12, 16, 19, 25, 30, 38, 46, 57, 68, 84, 99, 121, 143, 172, 202, 242, 283, 336, 392, 462, 537, 630, 729, 851, 982, 1140, 1312, 1518, 1741, 2006, 2295, 2635, 3007, 3442, 3917, 4470, 5077, 5776, 6545, 7429, 8399, 9510, 10731 (list; graph; listen)
OFFSET

1,2

COMMENT

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

REFERENCES

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

CROSSREFS

Sequence in context: A026928 A102464 A082538 this_sequence A116665 A122135 A027194

Adjacent sequences: A035936 A035937 A035938 this_sequence A035940 A035941 A035942

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 20 16:54 EST 2009. Contains 171081 sequences.


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