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 A099849 #11 May 13 2025 02:40:36 %S A099849 1,2,3,4,5,7,8,9,10,12,13,16,17,19,21,22,23,26,27,30,32,34,35,39,40, %T A099849 42,43,46,47,53,54,55,57,59,61,67,68,70,72,76,77,83,84,87,90,92,93,98, %U A099849 99,102,104,107,108,112,114,118,120,122,123,135,136,138,141,142,144,150 %N A099849 Partial sums of A008480. %H A099849 Reinhard Zumkeller, <a href="/A099849/b099849.txt">Table of n, a(n) for n = 1..10000</a> %F A099849 a(1) = A008480(1) and for n>1: a(n) = a(n-1) + A008480(n). %F A099849 A099848(a(n) - k) = n for 0 <= k < A008480(n). %t A099849 Accumulate[Table[Multinomial @@ FactorInteger[n][[;; , 2]], {n, 1, 100}]] (* _Amiram Eldar_, May 13 2025 *) %o A099849 (Haskell) %o A099849 a099849 n = a099849_list !! (n-1) %o A099849 a099849_list = scanl1 (+) a008480_list -- _Reinhard Zumkeller_, Nov 19 2015 %Y A099849 Cf. A008480, A099848. %K A099849 nonn,easy %O A099849 1,2 %A A099849 _Reinhard Zumkeller_, Oct 27 2004