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A217576 sum( d divides n, (d!)^(n/d) ). 0
1, 3, 7, 29, 121, 765, 5041, 40913, 363097, 3643233, 39916801, 479535185, 6227020801, 87203692929, 1307676103777, 20924415922433, 355687428096001, 6402505760917569, 121645100408832001, 2432915176581403649, 51090942299733783937, 1124002321128529922049 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..22.

FORMULA

G.f.: Sum_{n>=1} n!*x^n / (1 - n!*x^n). - Paul D. Hanna, Jan 17 2013

PROG

(PARI)  a(n)=sumdiv(n, d, (d!)^(n/d) );

CROSSREFS

Cf. A062363 ( sum( d divides n, d!) ).

Cf. A062796 ( sum( d divides n, d^d) ), A066108 ( sum( d divides n, n^d) ).

Sequence in context: A151358 A110613 A088095 * A173280 A141477 A211371

Adjacent sequences:  A217573 A217574 A217575 * A217577 A217578 A217579

KEYWORD

nonn

AUTHOR

Joerg Arndt, Oct 07 2012

STATUS

approved

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Last modified November 19 02:01 EST 2018. Contains 317332 sequences. (Running on oeis4.)