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(n+1) + (n+1)(n+2) + ..., with n terms.
2

%I #13 Aug 18 2019 01:45:22

%S 2,15,144,1925,33648,726327,18636560,553680369,18684924840,

%T 705833193923,29502690532392,1351724235304365,67359683340291104,

%U 3627011494019437935,209846445862386234528,12982402818188717219657,855210841645834409812920

%N (n+1) + (n+1)(n+2) + ..., with n terms.

%H Robert Israel, <a href="/A111686/b111686.txt">Table of n, a(n) for n = 1..365</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RisingFactorial.html">Rising Factorial</a>.

%e a(3) = 4+ 4*5 +4*5*6 = 144.

%p a:=n->sum((n+j)!,j=1..n)/n!: seq(a(n),n=1..18); # _Emeric Deutsch_, Aug 27 2005

%Y Cf. A111685, A054654.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Aug 16 2005

%E a(6)-a(10) from _Jonathan Vos Post_ Aug 17 2005

%E More terms from _Emeric Deutsch_, Aug 27 2005

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Last modified September 20 00:39 EDT 2024. Contains 376015 sequences. (Running on oeis4.)