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 A084859 Binomial transform of Cullen numbers A002064. 2
 1, 4, 16, 62, 232, 842, 2980, 10334, 35248, 118610, 394684, 1301126, 4255624, 13825658, 44657428, 143521838, 459230560, 1463719586, 4649308012, 14722502870, 46491507256, 146447041994, 460259735236, 1443537130622 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Index entries for linear recurrences with constant coefficients, signature (8,-21,18). FORMULA a(n)=2^n+2n*3^(n-1); a(n)=sum{k=0..n, C(n, k)(1+k*2^k) }. O.g.f.: (1-4x+5x^2)/[(1-2x)(-1+3x)^2]. - R. J. Mathar, Apr 02 2008 a(0)=1, a(1)=4, a(2)=16, a(n)=8*a(n-1)-21*a(n-2)+18*a(n-3). - Harvey P. Dale, Mar 31 2015 MATHEMATICA LinearRecurrence[{8, -21, 18}, {1, 4, 16}, 30] (* Harvey P. Dale, Mar 31 2015 *) CROSSREFS Cf. A004277. Sequence in context: A283409 A192468 A276042 * A081666 A250346 A085781 Adjacent sequences:  A084856 A084857 A084858 * A084860 A084861 A084862 KEYWORD easy,nonn AUTHOR Paul Barry, Jun 12 2003 STATUS approved

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Last modified October 17 14:47 EDT 2019. Contains 328114 sequences. (Running on oeis4.)