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 A136574 #19 Dec 23 2017 15:56:09 %S A136574 1,1,2,7,30,149,868,5907,46226,409105,4037904,43954703,522956302, %T A136574 6749977101,93928268300,1401602636299,22324392524298,378011820620297, %U A136574 6780385526348296,128425485935180295,2561327494111820294 %N A136574 Row sums of triangle A136573. %C A136574 For n > 0, a(n) gives the smallest number requiring n terms to be expressed as a sum of terms in A200748 - _David Eppstein_, Dec 21 2017 %F A136574 Row sums of triangle A136573. %F A136574 a(n) = A003422(n+1) + A000142(n+1) - (n+1). %F A136574 a(n) = n!*(n+1) + the sum of the first (n+1) terms of A033312: (0, 0, 1, 5, 23, 119, 719, ...), where A033312 = (k! - 1, k=0,1,2,...). %F A136574 a(n) = a(n-1) + n! - 1. - _David Eppstein_, Dec 21 2017 %e A136574 a(4) = 149 = 4!*(5) = 120 + the sum of the first five terms of A033312: (0, 0, 1, 5, 23) = 29, added to 120 = 149. %e A136574 a(4) = 149 = A003422(5) + A000142(5) - (n+1) = 34 + 120 - 5. %t A136574 s=1;lst={};Do[s+=n!-1;AppendTo[lst, s], {n, 0, 2*4!, 1}];lst (* _Vladimir Joseph Stephan Orlovsky_, Nov 08 2008 *) %t A136574 Fold[Append[#1, #1[[-1]] + #2! - 1] &, {1}, Range[20]] (* _Michael De Vlieger_, Dec 22 2017 *) %Y A136574 Cf. A033312, A136573, A000142. %K A136574 nonn %O A136574 0,3 %A A136574 _Gary W. Adamson_, Jan 07 2008 %E A136574 More terms from _Vladimir Joseph Stephan Orlovsky_, Nov 08 2008