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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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 6 15:08 EDT 2021. Contains 343586 sequences. (Running on oeis4.)