cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A094103 a(n) = sum along n-th diagonal of A094102 (sloping downward to left).

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%I A094103 #12 Aug 28 2025 06:31:34
%S A094103 1,1,2,3,4,5,8,9,13,16,22,26,37,43,60,71,98,115,160,187,259,304,420,
%T A094103 492,681,797,1102,1291,1784,2089,2888,3381,4673,5472,7562,8854,12237,
%U A094103 14327,19800,23183,32038,37511,51840,60695,83879,98208,135720,158904,219601
%N A094103 a(n) = sum along n-th diagonal of A094102 (sloping downward to left).
%H A094103 Harvey P. Dale, <a href="/A094103/b094103.txt">Table of n, a(n) for n = 1..1000</a>
%H A094103 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,1,1,-1,0,-1).
%F A094103 G.f.: (1+x+x^2+x^3) / ((1-x^3)*(1-x^2-x^4)).
%F A094103 a(1)=1, a(2)=1, a(3)=2, a(4)=3, a(5)=4, a(6)=5, a(7)=8, a(n) = a(n-2)+a(n-3)+a(n-4)-a(n-5)-a(n-7). - _Harvey P. Dale_, Oct 09 2011
%e A094103 a(8) = 2+3+2+1+1 = 9.
%t A094103 CoefficientList[Series[(1+x+x^2+x^3)/((1-x^3)(1-x^2-x^4)),{x,0,60}],x] (* or *) LinearRecurrence[{0,1,1,1,-1,0,-1},{1,1,2,3,4,5,8},61] (* _Harvey P. Dale_, Oct 09 2011 *)
%Y A094103 Cf. A094102.
%K A094103 nonn,easy,changed
%O A094103 1,3
%A A094103 Alysia Veenhof (ladyluck1899(AT)hotmail.com), May 05 2004
%E A094103 More terms from Pab Ter (pabrlos(AT)yahoo.com), May 24 2004