login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

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

%I #7 Feb 02 2023 08:37:04

%S 1,1,101,102,10103,10205,1010308,1020513,101030821,102051334,

%T 10103082155,10205133489,1010308215644,1020513349133,101030821564777,

%U 102051334913910,10103082156478687,10205133491392597,1010308215647871284,1020513349139263881,101030821564787135165,102051334913926399046

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

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,101,-100,-100)

%F G.f.: -x*(x-1)*(1+x) / ( (10*x+1)*(10*x-1)*(x^2+x-1) ). - _R. J. Mathar_, Nov 03 2016

%o (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

%Y Cf. A164847.

%K nonn,easy

%O 1,3

%A _Mark Dols_, Aug 28 2009

%E More terms from _Michel Marcus_, Feb 02 2023