

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
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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(n1) = 4*A138110(4,n).
a(n) = 5*a(n1)10*a(n2)+10*a(n3)5*a(n4)+2*a(n5).
G.f.: (1+x4*x^2+6*x^3+x^4)/((12*x)*(x^42*x^3+4*x^23*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



