A273224 - OEIS

A273224

a(n) = p*(p - 1)*(4051*p^4 - 4130*p^3 + 1445*p^2 - 190*p + 264)/720, where p = prime(n).

%I #18 Sep 08 2022 08:46:16

%S 104,1911,56974,488810,8247965,23154950,120309952,237557475,761914054,

%T 3119071046,4675225940,13662251406,25431242200,33922355957,

%U 58079673968,120014329006,229294119649,280383632390,493768590887,700437412570,828128942424,1333041982376

%N a(n) = p*(p - 1)*(4051*p^4 - 4130*p^3 + 1445*p^2 - 190*p + 264)/720, where p = prime(n).

%H Seiichi Manyama, <a href="/A273224/b273224.txt">Table of n, a(n) for n = 1..10000</a>

%H F. V. Weinstein, <a href="http://arXiv.org/abs/math.NT/0307150">Notes on Fibonacci partitions</a>, arXiv:math/0307150 [math.NT], 2003-2015, page 22.

%t Table[p = Prime[n]; p (p - 1) (4051 p^4 - 4130 p^3 + 1445 p^2 - 190 p + 264) / 720, {n, 40}]

%t #(#-1) (4051#^4-4130#^3+1445#^2-190#+264)/720&/@Prime[Range[30]] (* _Harvey P. Dale_, Aug 05 2018 *)

%o (Magma) [p*(p-1)*(4051*p^4-4130*p^3+1445*p^2-190*p+264)/720: p in PrimesUpTo(200)];

%Y Cf. A006093, A008837, A179545, A273221, A273222, A273223.

%K nonn

%O 1,1

%A _Vincenzo Librandi_, May 19 2016