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 A164854 Diagonal sum of generalized Pascal triangle; (10^n,1). 1
 1, 1, 11, 12, 113, 125, 1138, 1263, 11401, 12664, 114065, 126729, 1140794, 1267523, 11408317, 12675840, 114084157, 126759997, 1140844154, 1267604151, 11408448305, 12676052456, 114084500761, 126760553217, 1140845053978, 1267605607195, 11408450661173 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Robert Israel, Table of n, a(n) for n = 0..1990 Index entries for linear recurrences with constant coefficients, signature (1,11,-10,-10). FORMULA From Robert Israel, Jul 01 2016: (Start) G.f.: (1-x^2)/((1-10*x^2)*(1-x-x^2)). a(n) = (171-9*(-1)^n)*10^floor(n/2)/142 + (A000045(n)-10*A000045(n+2))/71. (End) a(n) = a(n-1)+11*a(n-2)-10*a(n-3)-10*a(n-4). - Wesley Ivan Hurt, Apr 21 2021 MAPLE f:= gfun:-rectoproc({10*a(n-4)+10*a(n-3)-11*a(n-2)-a(n-1)+a(n), a(0)=1, a(1)=1, a(2)=11, a(3)=12}, a(n), remember): map(f, [\$0..30]); # Robert Israel, Jul 01 2016 MATHEMATICA LinearRecurrence[{1, 11, -10, -10}, {1, 1, 11, 12}, 30] (* Harvey P. Dale, Apr 07 2022 *) CROSSREFS Cf. A164844, A164852, A000045. Sequence in context: A363931 A296447 A110380 * A033047 A094624 A108218 Adjacent sequences: A164851 A164852 A164853 * A164855 A164856 A164857 KEYWORD nonn,easy AUTHOR Mark Dols, Aug 28 2009 EXTENSIONS More terms from Harvey P. Dale, Apr 07 2022 STATUS approved

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Last modified August 3 18:16 EDT 2024. Contains 374899 sequences. (Running on oeis4.)