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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 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 September 22 01:18 EDT 2021. Contains 347605 sequences. (Running on oeis4.)