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A035940 Number of partitions in parts not of the form 9k, 9k+1 or 9k-1. Also number of partitions with no part of size 1 and differences between parts at distance 3 are greater than 1. +0
2
0, 1, 1, 2, 2, 4, 4, 6, 7, 10, 12, 17, 19, 26, 31, 40, 47, 61, 71, 90, 106, 131, 154, 190, 222, 270, 317, 381, 445, 533, 620, 737, 857, 1011, 1173, 1379, 1593, 1863, 2151, 2503, 2881, 3343, 3837, 4435, 5083, 5853, 6693, 7688, 8769, 10043, 11437, 13061 (list; graph; listen)
OFFSET

1,4

COMMENT

Case k=4,i=1 of Gordon Theorem.

REFERENCES

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

CROSSREFS

Sequence in context: A161254 A001996 A122134 this_sequence A067772 A058686 A078374

Adjacent sequences: A035937 A035938 A035939 this_sequence A035941 A035942 A035943

KEYWORD

nonn,easy

AUTHOR

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

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Last modified December 21 10:15 EST 2009. Contains 171081 sequences.


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