id:A035937 - OEIS Search Results

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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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