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.

A135635 Triangle read by rows, constructed by the Pascal rule, with top entry 2, left edge = odd numbers, right edge = squares plus 1.

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%I A135635 #6 Oct 25 2016 03:10:44
%S A135635 2,3,5,5,8,10,7,13,18,17,9,20,31,35,26,11,29,51,66,61,37,13,40,80,117,
%T A135635 127,98,50,15,53,120,197,244,225,148,65,17,68,173,317,441,469,373,213,
%U A135635 82,19,85,241,490,758,910,842,586,295,101
%N A135635 Triangle read by rows, constructed by the Pascal rule, with top entry 2, left edge = odd numbers, right edge = squares plus 1.
%H A135635 G. C. Greubel, <a href="/A135635/b135635.txt">Table of n, a(n) for the first 25 rows</a>
%e A135635 ............2
%e A135635 ...........3.5
%e A135635 ..........5.8.10
%e A135635 ........7.13.18.17
%e A135635 .......9.20.31.35.26
%e A135635 .....11.29.51.66.61.37
%p A135635 T:=proc(n,k)if n=1 and k=1 then 2 elif k=1 then 2*n-1 elif n < k then 0 elif k =n then n^2+1 else T(n-1,k)+T(n-1,k-1) end if end proc: for n to 10 do seq(T(n,k),k=1..n) end do; # yields sequence in triangular form - _Emeric Deutsch_, Mar 03 2008
%t A135635 T[1, 1]:= 2; T[n_, 1]:= 2*n - 1; T[n_, n_]:= n^2 + 1; T[n_, k_] := T[n - 1, k] + T[n - 1, k - 1]; Table[T[n, k], {n, 1, 10}, {k, 1, n}]//Flatten (* _G. C. Greubel_, Oct 25 2016 *)
%Y A135635 Cf. A002522.
%K A135635 nonn,tabl
%O A135635 1,1
%A A135635 David Williams (davidwilliams(AT)paxway.com), Mar 01 2008
%E A135635 More terms from _Emeric Deutsch_, Mar 03 2008