

A329322


a(n) is the total number of even parts in all partitions of n into consecutive parts.


1



0, 1, 1, 1, 1, 2, 1, 1, 3, 3, 1, 2, 1, 3, 5, 1, 1, 4, 1, 4, 6, 3, 1, 2, 3, 3, 6, 4, 1, 7, 1, 1, 6, 3, 7, 6, 1, 3, 6, 4, 1, 7, 1, 5, 12, 3, 1, 2, 5, 6, 6, 5, 1, 9, 8, 4, 6, 3, 1, 9, 1, 3, 14, 1, 8, 9, 1, 5, 6, 9, 1, 7, 1, 3, 13, 5, 11, 10, 1, 4, 10, 3, 1, 9, 8, 3, 6, 6, 1, 18
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OFFSET

1,6


LINKS

Table of n, a(n) for n=1..90.


FORMULA

a(n) = A204217(n)  A329321(n).


EXAMPLE

For n = 15 there are four partitions of 15 into consecutive part, they are [15], [8, 7], [6, 5, 4], [5, 4, 3, 2, 1]. In total there are five even parts, they are [8, 6, 4, 4, 2], so a(15) = 5.


CROSSREFS

Cf. A204217 (total number of parts).
Cf. A001227, A237048, A245579, A285898, A285914, A286000, A286001, A299765, A328361, A328365, A329321.
Sequence in context: A141542 A129453 A129455 * A067924 A056670 A170925
Adjacent sequences: A329319 A329320 A329321 * A329323 A329324 A329325


KEYWORD

nonn


AUTHOR

Omar E. Pol, Nov 10 2019


STATUS

approved



