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%I #28 May 04 2021 07:37:28
%S 0,1,3,7,11,27,127,134,183,631,5167,5178,5299,6883,29191,365527,
%T 365543,365799,370423,458551,2226007,39435607,39435629,39436113,
%U 39447751,39739207,47329207,252562807,6006997207,6006997236,6006998077,6007024177,6007860247,6035477527,6975328087
%N a(n) = 1 + 2*3 + 4*5*6 + 7*8*9*10 + ... + ...*n (see Example lines).
%H Seiichi Manyama, <a href="/A227364/b227364.txt">Table of n, a(n) for n = 0..10000</a>
%e a(5) = 1 + 2*3 + 4*5 = 27;
%e a(6) = 1 + 2*3 + 4*5*6 = 127;
%e a(7) = 1 + 2*3 + 4*5*6 + 7 = 134.
%o (Python)
%o for n in range(55):
%o sum = 0
%o i = k = 1
%o while i<=n:
%o product = 1
%o for x in range(k):
%o product *= i
%o i += 1
%o if i>n: break
%o sum += product
%o k += 1
%o print(str(sum), end=',')
%Y Cf. A227363, A227365, A227366, A227367, A228958.
%K nonn
%O 0,3
%A _Alex Ratushnyak_, Jul 07 2013
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