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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

A164844, A164852, A000045

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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Last modified December 2 21:20 EST 2016. Contains 278694 sequences.