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.

A014454 Sum_{1<=kk!,n!/k!).

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%I A014454 #14 Nov 11 2013 14:09:15
%S A014454 0,1,2,5,6,21,22,73,210,1693,1694,2097,2098,12997,21468,174169,174170,
%T A014454 1986237,1986238,10178833,16875654,246551437,246551438,2032266537,
%U A014454 3767596738,45445808989,260705796192,2932954933753,2932954933754,5496591783573,5496591783574
%N A014454 Sum_{1<=k<n} gcd(k!,n!/k!).
%H A014454 Reinhard Zumkeller, <a href="/A014454/b014454.txt">Table of n, a(n) for n = 1..500</a>
%e A014454 a(5) = gcd(1!,5!)+gcd(2!,3*4*5)+gcd(3!,4*5)+gcd(4!,5)=1+2+2+1 = 6.
%o A014454 (PARI) a(n) = sum(k=1, n-1, gcd(k!, n!/k!)); \\ _Michel Marcus_, Aug 04 2013
%o A014454 (Haskell)
%o A014454 a014454 n = sum $ zipWith gcd kfs $ map (div nf) kfs
%o A014454    where (nf:kfs) = reverse $ a166350_row n
%o A014454 -- _Reinhard Zumkeller_, Nov 11 2013
%Y A014454 Cf. A000142.
%Y A014454 Cf. A166350.
%K A014454 nonn
%O A014454 1,3
%A A014454 _Reinhard Zumkeller_, Feb 12 2002