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.

A227179 After initial 0, integers from 0 to n(n-1) followed by integers from 0 to n(n+1) and so on.

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%I A227179 #23 Jul 03 2025 15:25:19
%S A227179 0,0,0,1,2,0,1,2,3,4,5,6,0,1,2,3,4,5,6,7,8,9,10,11,12,0,1,2,3,4,5,6,7,
%T A227179 8,9,10,11,12,13,14,15,16,17,18,19,20,0,1,2,3,4,5,6,7,8,9,10,11,12,13,
%U A227179 14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30
%N A227179 After initial 0, integers from 0 to n(n-1) followed by integers from 0 to n(n+1) and so on.
%H A227179 Antti Karttunen, <a href="/A227179/b227179.txt">Table of n, a(n) for n = 0..9951</a>
%F A227179 a(n) = n - (1 + A006527(A227177(n)-1)).
%t A227179 Flatten[(Range[(#-2) (#-1)+1]-1&)[Range[7]]] (* _Peter J. C. Moses_, Jul 11 2013 *)
%o A227179 (Scheme) (define (A227179 n) (- n (+ 1 (A006527 (- (A227177 n) 1)))))
%o A227179 (Python)
%o A227179 from sympy import integer_nthroot
%o A227179 def A227179(n): return n-1-(f:=lambda x:x*(x**2+2))((m:=integer_nthroot(k:=3*n,3)[0])-(k<=f(m)))//3 # _Chai Wah Wu_, Nov 07 2024
%Y A227179 Cf. A002378, A006527, A227177, A227181, A227182.
%K A227179 nonn
%O A227179 0,5
%A A227179 _Antti Karttunen_, Jul 03 2013