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A243503 Sums of parts of partitions (i.e., their sizes) as ordered in the table A241918: a(n) = Sum_{i=A203623(n-1)+2..A203623(n)+1} A241918(i). 11
0, 1, 2, 2, 3, 4, 4, 3, 3, 6, 5, 6, 6, 8, 5, 4, 7, 5, 8, 9, 7, 10, 9, 8, 4, 12, 4, 12, 10, 8, 11, 5, 9, 14, 6, 7, 12, 16, 11, 12, 13, 11, 14, 15, 7, 18, 15, 10, 5, 7, 13, 18, 16, 6, 8, 16, 15, 20, 17, 11, 18, 22, 10, 6, 10, 14, 19, 21, 17, 10, 20, 9, 21, 24, 6, 24 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Each n occurs A000041(n) times in total.

Where are the first and the last occurrence of each n located?

LINKS

Antti Karttunen, Table of n, a(n) for n = 1..8192

FORMULA

a(n) = Sum_{i=A203623(n-1)+2..A203623(n)+1} A241918(i).

a(n) = A056239(A241909(n)).

a(n) = A227183(A075158(n-1)).

a(A000040(n)) = a(A000079(n)) = n for all n >= 1.

a(A122111(n)) = a(n) for all n.

a(A243051(n)) = a(n) for all n, and likewise for A243052, A243053 and other rows of A243060.

CROSSREFS

Cf. A243504 (the products of parts), A241918, A000041, A227183, A075158, A056239, A241909.

Sequence in context: A176360 A185068 A078664 * A069581 A274061 A284009

Adjacent sequences:  A243500 A243501 A243502 * A243504 A243505 A243506

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 05 2014

STATUS

approved

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Last modified January 17 19:58 EST 2019. Contains 319251 sequences. (Running on oeis4.)