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.

A359192 a(n) is the smallest square pyramidal number with exactly n prime factors (counted with multiplicity).

This page as a plain text file.
%I A359192 #8 Feb 16 2025 08:34:04
%S A359192 1,5,14,30,140,1240,4900,10416,85344,173880,1801800,5559680,44608256,
%T A359192 357389824,44870400,110099203200,2861214720,98269966080,982218617856,
%U A359192 1466149724160,11727587164160,243912389529600,750591347982336,1951282875801600,37635982963937280,460962807482777600
%N A359192 a(n) is the smallest square pyramidal number with exactly n prime factors (counted with multiplicity).
%H A359192 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PrimeFactor.html">Prime Factor</a>
%H A359192 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/SquarePyramidalNumber.html">Square Pyramidal Number</a>
%e A359192 a(4) = 140, because 140 is a square pyramidal number with 4 prime factors (counted with multiplicity) {2, 2, 5, 7} and this is the smallest such number.
%o A359192 (PARI) sp(n) = n*(n+1)*(2*n+1)/6; \\ A000330
%o A359192 a(n) = my(k=1); while (bigomega(sp(k)) != n, k++); sp(k); \\ _Michel Marcus_, Dec 20 2022
%Y A359192 Cf. A000330, A001222, A358927, A359193.
%K A359192 nonn
%O A359192 0,2
%A A359192 _Ilya Gutkovskiy_, Dec 19 2022