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A115651 Powerful(1) numbers (A001694) which are the sum of distinct double factorials (A006882). 5
1, 4, 8, 9, 16, 25, 27, 49, 64, 72, 108, 121, 125, 128, 169, 392, 400, 432, 441, 500, 512, 961, 968, 972, 1125, 1331, 1352, 1444, 3844, 3888, 3969, 4225, 4232, 4356, 4900, 4913, 5184, 5292, 5324, 10404, 10800, 10952, 11449, 11881, 14283, 14400 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Double factorials 0!! and 1!! are not considered distinct. Note that double factorial (n!!) is different from (n!)!.

LINKS

Table of n, a(n) for n=1..46.

Index entries for sequences related to powerful numbers

EXAMPLE

392 = 2^3*7^2 = 8!! + 4!!.

CROSSREFS

Cf. A001694, A006882, A115652, A115653, A115654.

Sequence in context: A195942 A125643 A002760 * A062559 A010417 A155568

Adjacent sequences:  A115648 A115649 A115650 * A115652 A115653 A115654

KEYWORD

nonn

AUTHOR

Giovanni Resta, Jan 28 2006

STATUS

approved

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Last modified August 18 15:00 EDT 2019. Contains 326106 sequences. (Running on oeis4.)