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A171373 Binomial transform of A171372. 2
1, 6, 16, 36, 76, 152, 292, 552, 1052, 2052, 4104, 8344, 17044, 34664, 69904, 139808, 278108, 552268, 1098148, 2189908, 4379816, 8776356, 17596496, 35263836, 70598516, 141197032, 282208592, 563931612, 1127077552, 2253369432, 4506738864, 9015534644 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The recurrence shows that the sequence and its successive differences are identical to their fifth differences (see A135356).

LINKS

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (5, -10, 10, -5, 2).

FORMULA

a(n+1)-2*a(n) = 4*A105371(n-1) = 4*A138110(4,n).

a(n) = 5*a(n-1)-10*a(n-2)+10*a(n-3)-5*a(n-4)+2*a(n-5).

G.f.: (1+x-4*x^2+6*x^3+x^4)/((1-2*x)*(x^4-2*x^3+4*x^2-3*x+1)).

MATHEMATICA

LinearRecurrence[{5, -10, 10, -5, 2}, {1, 6, 16, 36, 76}, 40] (* Harvey P. Dale, Dec 09 2013 *)

CROSSREFS

Sequence in context: A178465 A247619 A120586 * A048487 A124699 A237601

Adjacent sequences:  A171370 A171371 A171372 * A171374 A171375 A171376

KEYWORD

nonn

AUTHOR

Paul Curtz, Dec 07 2009

EXTENSIONS

Edited and extended by R. J. Mathar, Dec 15 2009, Mar 02 2010

STATUS

approved

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Last modified November 18 10:08 EST 2019. Contains 329261 sequences. (Running on oeis4.)