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.
%I A001261 M4273 N1786 #26 Dec 19 2021 09:53:57
%S A001261 0,0,0,0,0,1,6,63,616,6678,77868,978978,13216104,190899423,2939850914,
%T A001261 48106651593,833848627248,15265844099324,294412707629208,
%U A001261 5966764207952724,126793739418994416,2819296088257641741,65470320271760790078
%N A001261 Number of permutations of length n with 5 consecutive ascending pairs.
%D A001261 F. N. David, M. G. Kendall and D. E. Barton, Symmetric Function and Allied Tables, Cambridge, 1966, p. 263.
%D A001261 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A001261 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A001261 Vincenzo Librandi, <a href="/A001261/b001261.txt">Table of n, a(n) for n = 1..200</a>
%F A001261 E.g.f.: (x^5/5!)*exp(-x)/(1-x)^2. - _Vladeta Jovovic_, Jan 03 2003
%p A001261 a:=n->sum((n+3)!*sum((-1)^k/k!/5!, j=1..n), k=0..n): seq(a(n), n=2..19); # _Zerinvary Lajos_, May 25 2007
%t A001261 Range[0, 30]! CoefficientList[Series[x^5/5!*Exp[-x]/(1 - x)^2, {x, 0, 40}], x] (* _Vincenzo Librandi_, Apr 13 2014 *)
%Y A001261 Cf. A010027, A000255, A000166, A000274, A000313, A001260.
%Y A001261 A diagonal in triangle A010027.
%K A001261 nonn
%O A001261 1,7
%A A001261 _N. J. A. Sloane_
%E A001261 More terms from _Vladeta Jovovic_, Jan 03 2003
%E A001261 Name clarified and offset changed by _N. J. A. Sloane_, Apr 12 2014