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.

A278252 Least number with the prime signature of the n-th tetrahedral number, binomial(n+2,3).

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%I A278252 #17 Feb 22 2017 13:59:23
%S A278252 1,4,6,12,6,24,60,120,30,60,30,60,30,240,120,240,30,420,210,420,30,
%T A278252 120,180,360,180,1260,420,420,30,480,240,480,210,4620,2310,420,30,840,
%U A278252 420,840,30,420,2310,4620,210,240,360,3600,180,1260,210,1260,420,27720,4620,840,30,420,210,420,210,6720,36960,6720,210,420,210,4620,210,9240,420,840,60,1260
%N A278252 Least number with the prime signature of the n-th tetrahedral number, binomial(n+2,3).
%H A278252 Antti Karttunen, <a href="/A278252/b278252.txt">Table of n, a(n) for n = 1..10000</a>
%F A278252 a(n) = A046523(A000292(n)) = A046523(binomial(n+2,3)).
%t A278252 Table[Times @@ MapIndexed[(Prime@ First@ #2)^#1 &, #] &@ If[Length@ # == 1 && #[[1, 1]] == 1, {0}, Reverse@ Sort@ #[[All, -1]]] &@ FactorInteger[ Binomial[n + 2, 3]], {n, 74}] (* _Michael De Vlieger_, Nov 21 2016 *)
%o A278252 (Scheme)
%o A278252 (define (A278252 n) (A046523 (A000292 n)))
%o A278252 (define (A000292 n) (/ (* n (+ 1 n) (+ 2 n)) 6))
%o A278252 (PARI) a(n)=my(e=vecsort(factor(binomial(n+2,3))[,2],,4)~); factorback(primes(#e),e) \\ _Charles R Greathouse IV_, Feb 22 2017
%Y A278252 Diagonal 3 of A278218.
%Y A278252 Cf. A000292, A046523.
%K A278252 nonn
%O A278252 1,2
%A A278252 _Antti Karttunen_, Nov 19 2016