A130473 Partial sums of A087172.

1, 3, 6, 9, 14, 19, 24, 32, 40, 48, 56, 64, 77, 90, 103, 116, 129, 142, 155, 168, 189, 210, 231, 252, 273, 294, 315, 336, 357, 378, 399, 420, 441, 475, 509, 543, 577, 611, 645, 679, 713, 747, 781, 815, 849, 883, 917, 951, 985, 1019, 1053, 1087, 1121, 1155, 1210

Offset

1,2

Links

Table of n, a(n) for n=1..55.

Formula

a(n) = (1/2)*(Fib(2*b(n)+1) - 3*Fib(b(n))*Fib(b(n)+1)-1) + (n+1)*Fib(b(n)) where b(n) = A130233(n) = A130234(n+1)-1 and Fib(n)=A000045(n).

Mathematica

Accumulate[Flatten[Map[ConstantArray[Fibonacci[#], Fibonacci[#-1]]&, Range[15]]]] (* Peter J. C. Moses, May 02 2022 *)

Crossrefs

Cf. A000045, A130233, A130234, A130235, A130236, A130238, A130240, A087172.

Sequence in context: A310168 A134031 A228172 * A261229 A184015 A225282

Adjacent sequences: A130470 A130471 A130472 * A130474 A130475 A130476

Keyword

nonn

Author

Hieronymus Fischer, May 28 2007

Status

approved