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A295342 The number of partitions of n in which at least one part is a multiple of 4. 1
0, 0, 0, 0, 1, 1, 2, 3, 6, 8, 13, 18, 27, 37, 53, 71, 99, 131, 177, 232, 307, 397, 518, 663, 853, 1082, 1376, 1730, 2179, 2719, 3394, 4206, 5211, 6415, 7894, 9661, 11814, 14381, 17487, 21179, 25622, 30887, 37188, 44637, 53509, 63965, 76368, 90946, 108169, 128361 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,7

LINKS

Table of n, a(n) for n=0..49.

FORMULA

a(n) = A000041(n) - A001935(n).

CROSSREFS

Cf. A047967 (at least one multiple of 2), A295341 (at least one multiple of 3).

Sequence in context: A239952 A240076 A266771 * A226635 A024788 A285472

Adjacent sequences:  A295339 A295340 A295341 * A295343 A295344 A295345

KEYWORD

nonn

AUTHOR

R. J. Mathar, Nov 20 2017

STATUS

approved

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Last modified August 6 17:06 EDT 2020. Contains 336255 sequences. (Running on oeis4.)