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%I #19 May 26 2024 18:19:37
%S 1,5,13,77,205,1229,3277,19661,52429,314573,838861,5033165,13421773,
%T 80530637,214748365,1288490189,3435973837,20615843021,54975581389,
%U 329853488333,879609302221,5277655813325,14073748835533,84442493013197,225179981368525,1351079888211149
%N a(n) = a(n-1) + 2^(k(n)), where k(n) is the n-th term of the sequence formed by k(1)=0 together with the numbers A042964.
%H Vincenzo Librandi, <a href="/A113876/b113876.txt">Table of n, a(n) for n = 1..300</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,16,-16).
%F G.f.: (1+x-8*x^2)/(2*(-1+x)*(-1+4*x)*(1+4*x)). - _Vaclav Kotesovec_, Nov 28 2012
%F a(n) = (4 + (-4)^n + 5*4^n)/20. - _Gerry Martens_, May 26 2024
%Y Cf. A042964, A099974, A112627, A080355, A080567, A099969, A099970, A099971.
%K nonn,changed
%O 1,2
%A _Artur Jasinski_, Jan 27 2006
%E Edited with better definition and offset corrected by _Omar E. Pol_, Jan 08 2009
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