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A035970 Number of partitions in parts not of the form 19k, 19k+1 or 19k-1. Also number of partitions with no part of size 1 and differences between parts at distance 8 are greater than 1. +0
1
0, 1, 1, 2, 2, 4, 4, 7, 8, 12, 14, 21, 24, 34, 41, 55, 66, 87, 104, 135, 163, 206, 248, 312, 373, 463, 555, 681, 813, 992, 1179, 1428, 1695, 2037, 2411, 2885, 3401, 4048, 4763, 5641, 6617, 7808, 9131, 10733, 12524, 14664, 17067, 19925, 23128, 26917, 31178 (list; graph; listen)
OFFSET

1,4

COMMENT

Case k=9,i=1 of Gordon Theorem.

REFERENCES

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

CROSSREFS

Sequence in context: A035949 A035955 A035962 this_sequence A035979 A035989 A036000

Adjacent sequences: A035967 A035968 A035969 this_sequence A035971 A035972 A035973

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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