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A286015 Sum of largest parts of all partitions of n into consecutive parts. 3
1, 2, 5, 4, 8, 9, 11, 8, 18, 14, 17, 17, 20, 19, 34, 16, 26, 31, 29, 26, 46, 29, 35, 33, 45, 34, 58, 35, 44, 58, 47, 32, 70, 44, 70, 57, 56, 49, 82, 50, 62, 78, 65, 53, 114, 59, 71, 65, 84, 76, 106, 62, 80, 98, 106, 67, 118, 74, 89, 106, 92, 79, 153, 64, 124 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

If n is a power of 2 then a(n) = n, the same as A286014(n).

Conjecture: this is also the row sums of A286013.

LINKS

Alois P. Heinz, Table of n, a(n) for n = 1..10000

EXAMPLE

For n = 15 there are four partitions of 15 into consecutive parts: [15], [8, 7], [6, 5, 4] and [5, 4, 3, 2, 1]. The sum of the largest parts is 15 + 8 + 6 + 5 = 34, so a(15) = 34.

MATHEMATICA

Table[Total[Select[IntegerPartitions@ n, Or[Length@ # == 1, Union@ Differences@ # == {-1}] &][[All, 1]]], {n, 65}] (* Michael De Vlieger, Jul 21 2017 *)

CROSSREFS

Cf. A000079, A006128, A046746, A204217, A211343, A245579, A286013, A286014.

Sequence in context: A134079 A033686 A243973 * A183542 A080031 A198193

Adjacent sequences:  A286012 A286013 A286014 * A286016 A286017 A286018

KEYWORD

nonn

AUTHOR

Omar E. Pol, Apr 30 2017

EXTENSIONS

More terms from Alois P. Heinz, May 01 2017

STATUS

approved

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Last modified December 18 23:46 EST 2018. Contains 318245 sequences. (Running on oeis4.)