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A144647 Second differences of A001515 (or A144301). 1
1, 4, 25, 199, 1936, 22411, 301939, 4649800, 80654599, 1556992441, 33120019516, 769887934729, 19419368959225, 528311452144204, 15421347559288441, 480784227676809991, 15945180393017896024, 560549114426134288675 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

MAPLE

A001515 := proc(n) simplify(hypergeom([n+1, -n], [], -1/2)) ; end: A144647 := proc(n) if n =0 then A001515(n) ; else A001515(n+1)-2*A001515(n)+A001515(n-1) ; fi; end: seq(A144647(n), n=0..30) ; [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 01 2009]

MATHEMATICA

Join[{1}, Differences[RecurrenceTable[{a[0]==1, a[1]==2, a[n]== (2n-1)a[n-1]+ a[n-2]}, a[n], {n, 25}], 2]] (* From Harvey P. Dale, June 18 2011 *)

CROSSREFS

Cf. A001515, A144301, A144498.

Sequence in context: A065735 A182953 A140094 * A060910 A195260 A088159

Adjacent sequences:  A144644 A144645 A144646 * A144648 A144649 A144650

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 26 2009

EXTENSIONS

More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Feb 01 2009

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Last modified February 15 10:52 EST 2012. Contains 205763 sequences.