A164849 Diagonal sum of (100^n,1) Pascal triangle.

1, 1, 101, 102, 10103, 10205, 1010308, 1020513, 101030821, 102051334, 10103082155, 10205133489, 1010308215644, 1020513349133, 101030821564777, 102051334913910, 10103082156478687, 10205133491392597, 1010308215647871284, 1020513349139263881, 101030821564787135165, 102051334913926399046

Offset

1,3

Links

Table of n, a(n) for n=1..22.

Index entries for linear recurrences with constant coefficients, signature (1,101,-100,-100)

Formula

G.f.: -x*(x-1)*(1+x) / ( (10*x+1)*(10*x-1)*(x^2+x-1) ). - R. J. Mathar, Nov 03 2016

Prog

(PARI) Vec(-x*(x-1)*(1+x) / ( (10*x+1)*(10*x-1)*(x^2+x-1) ) + O(x^25)) \\ Michel Marcus, Feb 02 2023

Crossrefs

Cf. A164847.

Sequence in context: A213312 A261021 A271642 * A162671 A230094 A030474

Adjacent sequences: A164846 A164847 A164848 * A164850 A164851 A164852

Keyword

nonn,easy

Author

Mark Dols, Aug 28 2009

Extensions

More terms from Michel Marcus, Feb 02 2023

Status

approved