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A158568 a(n) = Sum_{i=1..Fibonacci(n)} sigma_0(i) where sigma_0(n) is A000005(n). 1
1, 1, 3, 5, 10, 20, 37, 70, 127, 231, 413, 746, 1307, 2295, 4010, 6957, 12031, 20712, 35514, 60718, 103500, 175989, 298539, 505399, 853777, 1439856, 2424299, 4075479, 6841787, 11470592, 19207624, 32126763, 53678285 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,3

LINKS

Table of n, a(n) for n=1..33.

MAPLE

with(combinat):with(numtheory): A158568 := proc(n) return add(tau(i), i=1..fibonacci(n)): end: seq(A158568(n), n=1..20); # Nathaniel Johnston, May 09 2011

MATHEMATICA

Module[{nn=33, f, d}, f=Fibonacci[nn]; d=DivisorSigma[0, Range[f]]; Table[ Total[ Take[d, n]], {n, Fibonacci[Range[nn]]}]] (* Harvey P. Dale, Apr 29 2018 *)

PROG

(PARI) a(n) = sum(k=1, fibonacci(n), numdiv(k)); \\ Michel Marcus, Feb 12 2019

CROSSREFS

Cf. A000005, A000045, A006218, A085831, A062550, A153876, A153817, A153816.

Sequence in context: A018101 A298184 A182536 * A068013 A342762 A270737

Adjacent sequences:  A158565 A158566 A158567 * A158569 A158570 A158571

KEYWORD

nonn

AUTHOR

Ctibor O. Zizka, Mar 21 2009

EXTENSIONS

a(16)-a(33) from Nathaniel Johnston, May 09 2011

STATUS

approved

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Last modified May 10 21:08 EDT 2021. Contains 343780 sequences. (Running on oeis4.)