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A047990 a(n+1) = a(n) + (n^2 + 1)*a(n-1). 2
1, 2, 4, 14, 54, 292, 1696, 12500, 97300, 909800, 8888400, 100778200, 1185163000, 15798002000, 217275712000, 3329482106000, 52433793018000, 908110694260000, 16113910669480000, 311249886303980000, 6144485548655740000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Studied by M. Bhargava (bhargava(AT)math.Princeton.EDU) and H. S. Wilf.

LINKS

T. D. Noe, Table of n, a(n) for n=0..100

MATHEMATICA

RecurrenceTable[{a[0]==1, a[1]==2, a[n]==a[n-1]+((n-1)^2+1)a[n-2]}, a, {n, 20}] (* Harvey P. Dale, May 07 2013 *)

CROSSREFS

Cf. A047991.

Sequence in context: A322859 A183949 A131180 * A000939 A109154 A030853

Adjacent sequences:  A047987 A047988 A047989 * A047991 A047992 A047993

KEYWORD

nonn,easy,nice

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified January 23 07:07 EST 2020. Contains 331168 sequences. (Running on oeis4.)