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A178684 Partial sums of cardinalities of coalition sets A095941. 0
0, 0, 1, 5, 18, 53, 138, 332, 757, 1661, 3546, 7424, 15328, 31336, 63618, 128531, 258811, 519956, 1042992, 2090009, 4185231, 8377158, 16762853, 33536516, 67086633, 134190278, 268401718, 536829625, 1073691505, 2147422558 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

COMMENTS

Partial sums of number of subsets of {1,2,...,n} such that every number in the set is no larger than the sum of the other numbers in the set. See formula in A095944.  The subsequence of primes begins: 5, 53, 757, 2090009, 16762853.

LINKS

Table of n, a(n) for n=1..30.

EXAMPLE

a(9) = 0 + 0 + 1 + 4 + 13 + 35 + 85 + 194 + 425 = 757 is prime.

CROSSREFS

Cf. A000009, A002623, A095941, A095944.

Sequence in context: A127983 A226903 A056782 * A271771 A270990 A272558

Adjacent sequences:  A178681 A178682 A178683 * A178685 A178686 A178687

KEYWORD

nonn,easy

AUTHOR

Jonathan Vos Post, Dec 25 2010

STATUS

approved

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Last modified February 22 09:40 EST 2019. Contains 320390 sequences. (Running on oeis4.)