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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.

A153758 a(n) = Sum_{k=1..n} A153757(k).

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%I A153758 #5 Feb 26 2020 15:57:44
%S A153758 1,3,7,17,57,337,3737,72657,2369257,127188257,11156500857,
%T A153758 1592432891857,369041278550057,138668563737942657,
%U A153758 84415532990575319257,83213455958038482903857,132788829902694935512664457,342962001904259249964245209057
%N A153758 a(n) = Sum_{k=1..n} A153757(k).
%F A153758 A000012 * A153757 = A000012^2 * A003266; where A000012 = the partial sum operator as an infinite lower triangular matrix.
%e A153758 a(4) = 17 = (1 + 2 + 4 + 10), where A153757 = (1, 2, 4, 10, 40, 280, ...).
%t A153758 a[n_] := Sum[Fibonorial[k], {k, 1, n}]; Accumulate @ Table[a[n], {n, 1, 20}] (* _Amiram Eldar_, Feb 26 2020 *)
%Y A153758 Cf. A153757, A003266.
%K A153758 nonn
%O A153758 1,2
%A A153758 _Gary W. Adamson_, Dec 31 2008
%E A153758 More terms from _Amiram Eldar_, Feb 26 2020