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.

A291752 Compound filter: a(n) = P(A101296(n), A291751(n)), where P(n,k) is sequence A000027 used as a pairing function.

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%I A291752 #14 Oct 09 2017 00:05:35
%S A291752 1,5,8,18,17,40,30,71,58,82,23,126,80,124,124,197,57,196,138,237,214,
%T A291752 235,93,359,256,304,356,412,327,570,173,640,469,500,469,791,498,599,
%U A291752 634,828,255,912,668,867,909,410,408,1237,864,1041,410,1087,437,1233,410,1283,1132,1180,530,1724,1178,707,1437,1967,1435,1779,1433,1717,707,1779,353,2361
%N A291752 Compound filter: a(n) = P(A101296(n), A291751(n)), where P(n,k) is sequence A000027 used as a pairing function.
%C A291752 This filter combines information about A101296(n) (prime signature of n, A046523), A003557(n) and A048250(n). - _Antti Karttunen_, Oct 08 2017
%H A291752 Antti Karttunen, <a href="/A291752/b291752.txt">Table of n, a(n) for n = 1..16385</a>
%F A291752 a(n) = (1/2)*(2 + ((A101296(n) + A291751(n))^2) - A101296(n) - 3*A291751(n)).
%o A291752 (Scheme) (define (A291752 n) (* (/ 1 2) (+ (expt (+ (A101296 n) (A291751 n)) 2) (- (A101296 n)) (- (* 3 (A291751 n))) 2)))
%Y A291752 Cf. A000027, A003557, A046523, A048250, A101296, A291750, A291751.
%K A291752 nonn
%O A291752 1,2
%A A291752 _Antti Karttunen_, Sep 06 2017
%E A291752 Formula corrected by _Antti Karttunen_, Oct 08 2017