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A062569 a(n) = sigma(n!). 22
1, 1, 3, 12, 60, 360, 2418, 19344, 159120, 1481040, 15334088, 184009056, 2217441408, 31044179712, 442487616480, 6686252969760, 107004539285280, 1926081707135040, 34683832925921088, 693676658518421760, 13891399238731734720, 292460416142501376000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Lim_{n->infinity: a(n)/n! = infinity}. Proof in Sierpiński. - Bernard Schott, Feb 09 2019

REFERENCES

Wacław Sierpiński, Elementary Theory of Numbers, Ex.6 p. 169, Warsaw, 1964.

LINKS

Paul D. Hanna, Table of n, a(n) for n = 0..300

Vaclav Kotesovec, Plot of a(n)/(n!*log(n)) for n = 2..50000

FORMULA

a(n) = A000203(A000142(n)). - Michel Marcus, Jan 10 2015

a(p) = (p+1)*a(p-1) for p prime. - Altug Alkan, Jul 18 2016

MAPLE

with(numtheory):seq(sigma(n!), n=0..19); # Zerinvary Lajos, Feb 15 2008

MATHEMATICA

Array[DivisorSigma[1, #! ]&, 33, 1] (* Vladimir Joseph Stephan Orlovsky, Nov 01 2009 *)

PROG

(PARI) for(n=0, 21, print(sigma(n!)))

(Sage) [sigma(factorial(n), 1)for n in xrange(0, 20)] # Zerinvary Lajos, Jun 13 2009

CROSSREFS

Cf. A027423.

Sequence in context: A000258 A070863 A180707 * A089057 A077134 A001710

Adjacent sequences:  A062566 A062567 A062568 * A062570 A062571 A062572

KEYWORD

easy,nonn

AUTHOR

Jason Earls, Jul 03 2001

STATUS

approved

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Last modified March 21 04:59 EDT 2019. Contains 321364 sequences. (Running on oeis4.)