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A036034 Number of partitions of n into parts not of form 4k+2, 24k, 24k+6 or 24k-6. Also number of partitions in which no odd part is repeated, with at most 5 parts of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even. 0
1, 1, 2, 3, 4, 5, 7, 10, 13, 16, 20, 27, 33, 40, 51, 64, 78, 94, 115, 141, 170, 202, 243, 294, 349, 411, 489, 581, 683, 800, 940, 1105, 1290, 1498, 1745, 2034, 2355, 2718, 3145, 3636, 4184, 4804, 5520, 6340, 7258, 8289, 9472, 10821, 12324, 14011, 15935 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Case k=6,i=6 of Gordon/Goellnitz/Andrews Theorem.

REFERENCES

G. E. Andrews, The Theory of Partitions, Addison-Wesley, 1976, p. 114.

LINKS

Table of n, a(n) for n=1..51.

CROSSREFS

Sequence in context: A183106 A071682 A014670 * A106507 A006950 A052335

Adjacent sequences:  A036031 A036032 A036033 * A036035 A036036 A036037

KEYWORD

nonn,easy

AUTHOR

Olivier Gérard

STATUS

approved

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Last modified December 7 14:52 EST 2016. Contains 278877 sequences.