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.

A112663 Smallest circular sequence of period 32 such that any two adjacent numbers sum to a square number.

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%I A112663 #8 Jun 26 2025 12:10:27
%S A112663 1,8,28,21,4,32,17,19,30,6,3,13,12,24,25,11,5,31,18,7,29,20,16,9,27,
%T A112663 22,14,2,23,26,10,15,1,8,28,21,4,32,17,19,30,6,3,13,12,24,25,11,5,31,
%U A112663 18,7,29,20,16,9,27,22,14,2,23,26,10,15,1,8,28,21,4,32,17,19,30,6,3,13,12,24,25,11,5,31,18,7,29,20,16,9,27,22,14,2,23,26,10,15
%N A112663 Smallest circular sequence of period 32 such that any two adjacent numbers sum to a square number.
%C A112663 The terms of this sequence are given in A071984. An algorithm for computing circular chains of squares is given in A090460. - _T. D. Noe_, Dec 30 2005
%F A112663 a(n) = A272259(32, (n-1) mod 32) for all n, where "mod" is the (nonnegative) remainder operator. - _M. F. Hasler_, Jun 23 2025
%e A112663 1+8=9
%e A112663 8+28=36
%e A112663 28+21=49
%e A112663 ...
%e A112663 26+10=36
%e A112663 10+15=25
%e A112663 15+1=16
%o A112663 (PARI) apply( {A112663(n)=my(r=1);foreach(digits(403079653644429064719159, 6)[1..n%32],s,r=(s+2)^2-r); r}, [0..77]) \\ _M. F. Hasler_, Jun 23 2025
%Y A112663 Cf. A000217, A000290.
%Y A112663 Cf. A272259 (has terms a(0..31) in row 32).
%K A112663 nonn
%O A112663 0,2
%A A112663 Federico Ramondino, Dec 29 2005