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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 (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)/((1-10x^2)(1-x-x^2)). a(n) = (171 - 9*(-1)^n)*10^floor(n/2)/142 + (A000045(n)-10*A000045(n+2))/71.  (End) 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 CROSSREFS Sequence in context: A110382 A095764 A110380 * A033047 A094624 A108218 Adjacent sequences:  A164851 A164852 A164853 * A164855 A164856 A164857 KEYWORD nonn,easy AUTHOR Mark Dols, Aug 28 2009 STATUS approved

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