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A225178
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The generalized Conway-Guy sequence d_2(n).
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1
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1, 2, 6, 16, 48, 140, 408, 1224, 3640, 10824, 32192, 96576, 288912, 864288, 2585584, 7735104, 23205312, 69551552, 208461504, 624806688, 1872691488, 5612903296, 16838709888, 50500659456, 151455567744, 454227600128, 1362265877376
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OFFSET
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1,2
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LINKS
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FORMULA
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Bae and Choi define this sequence via a collection of recurrences.
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MAPLE
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b := proc(n)
round(sqrt(2*n-2)) ;
end proc:
d := proc(k, n)
option remember;
if n = 1 then
1;
else
add( k*procname(k, i), i=n-b(n)..n-1 ) ;
end if;
end proc:
d(2, n) ;
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MATHEMATICA
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b[n_] := Round[Sqrt[2n-2]];
d[k_, n_] := d[k, n] = If[n == 1, 1, Sum[k*d[k, i], {i, n-b[n], n-1}]];
a[n_] := d[2, n];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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