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.

A108496 a(n) = (n^43 - n)/42.

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%I A108496 #20 Jun 07 2025 08:10:55
%S A108496 0,0,209430786243,7815642080822311372,1842172677508006361457030,
%T A108496 27068294695622864223661876860,68747114771196346634599779308105,
%U A108496 51995580380757061883555053636996008
%N A108496 a(n) = (n^43 - n)/42.
%C A108496 Also integer sequences for (n^2-n)/1 (A002378 offset), (n^3-n)/2 (A027480 offset), (n^7-n)/6 (A108495) and (n^1807-n)/1806.
%H A108496 Vincenzo Librandi, <a href="/A108496/b108496.txt">Table of n, a(n) for n = 0..1000</a>
%H A108496 D. Zagier, <a href="https://mathshistory.st-andrews.ac.uk/EMS/Zagier/Problems/">Problems posed at the St Andrews Colloquium, 1996</a>.
%F A108496 a(n) = (n-1)*A108048(n).
%e A108496 a(2) = (2^43 - 2)/42 = 8796093022206/42 = 209430786243.
%t A108496 Table[(n^43-n)/42,{n,0,10}] (* _Harvey P. Dale_, Jan 31 2022 *)
%o A108496 (Magma) [(n^43-n)/42: n in [0..20]]; // _Vincenzo Librandi_, May 02 2011
%Y A108496 Cf. A014117, A108497, A108499.
%K A108496 nonn
%O A108496 0,3
%A A108496 _Henry Bottomley_, Jun 06 2005