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.

A181558 Index of first occurrence of 2n in A031883, or 0 if 2n never occurs in A031883 = first differences of lucky numbers A000959.

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%I A181558 #11 Jul 11 2015 16:14:33
%S A181558 1,2,6,20,31,14,126,85,36,145,140,122,376,231,162,483,692,600,993,
%T A181558 1188,1106,2440,1080,2814,2586,450,2696,3473,4254,4857,5918,2364,4760,
%U A181558 4818,21192,13116,19284,14855,12158,31032,18174,15068,35700,56846,27367,33716,13736,16746,103292,8541
%N A181558 Index of first occurrence of 2n in A031883, or 0 if 2n never occurs in A031883 = first differences of lucky numbers A000959.
%F A181558 a(n) = min { k | A031883(k)=2n } = min { k | A000959(k+1)=A000959(k)+2n }.
%e A181558 a(1)=1 is the least index i such that A000959(i)+2*1 = A000959(i+1), since A000959(1) = 1 and A000959(2) = 3.
%e A181558 a(2)=2 is the least index i such that A000959(i)+2*2 = A000959(i+1), since A000959(2) = 3 and A000959(3) = 7.
%e A181558 a(3)=6 is the least index i such that A000959(i)+2*3 = A000959(i+1); indeed A000959(7) - A000959(6) = 21 - 15 is the earliest gap of 6 in A000959.
%o A181558 (PARI) a(n) = for( i=1,1e9, A031883[i]==2*n & return(i)) /* will issue an error if 2n is not found in A031883 */
%Y A181558 Cf. A038664 (analog for primes).
%K A181558 nonn
%O A181558 1,2
%A A181558 _M. F. Hasler_, Oct 31 2010
%E A181558 a(20)-a(50) from _Nathaniel Johnston_, Nov 15 2010