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A155956 a(n) = Sum_{k=0..n} (k*n)^k. 1
1, 2, 19, 769, 67333, 9929106, 2201420095, 683765250589, 283214405613321, 150820803395086078, 100389106493001087411, 81663040762574177095289, 79709457342800206602843277, 91941570967455757927336110570, 123717598784707453088183544702311 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Sums of rows of the triangle in A155955.

LINKS

G. C. Greubel, Table of n, a(n) for n = 0..210

FORMULA

a(n) = h(n,n) with h(n,k) = if k<0 then 0 otherwise n*h(n,k-1)+(n-k)^(n-k).

MATHEMATICA

Table[Sum[(k*n)^k, {k, n}], {n, 0, 20}]+1 (* Harvey P. Dale, Apr 04 2017 *)

PROG

(MAGMA) [&+[(k*n)^k: k in [0..n]]: n in [0..20]]; // Bruno Berselli, Jul 04 2016

(PARI) vector(30, n, n--; sum(k=0, n, (k*n)^k)) \\ G. C. Greubel, Sep 14 2018

CROSSREFS

Cf. A000312.

Sequence in context: A086976 A118189 A062623 * A013047 A012951 A012980

Adjacent sequences:  A155953 A155954 A155955 * A155957 A155958 A155959

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Jan 31 2009

STATUS

approved

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Last modified July 27 06:30 EDT 2021. Contains 346304 sequences. (Running on oeis4.)