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Revision History for A167531

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A167531

a(n) = Sum_{d divides n} d*(n/d)^(d-1).
(history; published version)

#9 by Vaclav Kotesovec at Tue Sep 03 12:08:14 EDT 2019

STATUS

reviewed

approved

#8 by Joerg Arndt at Tue Sep 03 11:54:14 EDT 2019

STATUS

proposed

reviewed

#7 by Seiichi Manyama at Tue Sep 03 11:21:00 EDT 2019

STATUS

editing

proposed

#6 by Seiichi Manyama at Tue Sep 03 11:20:56 EDT 2019

LINKS

Seiichi Manyama, <a href="/A167531/b167531.txt">Table of n, a(n) for n = 1..5000</a>

#5 by Seiichi Manyama at Tue Sep 03 11:15:41 EDT 2019

CROSSREFS

Cf. A055225, A324158.

#4 by Seiichi Manyama at Tue Sep 03 11:14:43 EDT 2019

PROG

(PARI) N=66; x='x+O('x^N); Vec(sum(k=1, N, x^k/(1-k*x^k)^2)) \\ Seiichi Manyama, Sep 03 2019

#3 by Seiichi Manyama at Tue Sep 03 11:13:30 EDT 2019

NAME

a(n) = sum(Sum_{d divides n, } d*(n/d)^(d-1)).

FORMULA

G.f. sum(: Sum{k>0, } x^k/(1-k*x^k)^2.

STATUS

approved

editing

#2 by Russ Cox at Fri Mar 30 17:35:24 EDT 2012

AUTHOR

_Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), _, Nov 05 2009

Discussion

Fri Mar 30

17:35

OEIS Server: https://oeis.org/edit/global/165

#1 by N. J. A. Sloane at Tue Jun 01 03:00:00 EDT 2010

NAME

a(n) = sum(d divides n, d*(n/d)^(d-1)).

DATA

1, 3, 4, 9, 6, 25, 8, 49, 37, 101, 12, 373, 14, 477, 496, 1313, 18, 3907, 20, 6941, 5272, 11309, 24, 49321, 3151, 53301, 59320, 144789, 30, 468181, 32, 657473, 649936, 1114181, 121416, 5124961, 38, 4980813, 6909280, 13756761, 42, 44768725, 44

OFFSET

1,2

FORMULA

G.f. sum(k>0, x^k/(1-k*x^k)^2.

PROG

(PARI) a(n)=sumdiv(n, d, d*(n/d)^(d-1))

CROSSREFS

Cf. A055225.

KEYWORD

nonn

AUTHOR

Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 05 2009

STATUS

approved