login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A327687
Partial sums of Pisano periods (A001175).
1
1, 4, 12, 18, 38, 62, 78, 90, 114, 174, 184, 208, 236, 284, 324, 348, 384, 408, 426, 486, 502, 532, 580, 604, 704, 788, 860, 908, 922, 1042, 1072, 1120, 1160, 1196, 1276, 1300, 1376, 1394, 1450, 1510, 1550, 1598, 1686, 1716, 1836, 1884, 1916, 1940, 2052, 2352, 2424, 2508, 2616, 2688, 2708
OFFSET
1,2
LINKS
Joseph Louis de Lagrange, Additions aux éléments d'algèbre d'Euler. Analyse indéterminée, (1774), pp. 143ff.
J. D. Fulton and W. L. Morris, On arithmetical functions related to the Fibonacci numbers, Acta Arithmetica 16 (1969), 105-110.
James Grime and Brady Haran, Fibonacci Mystery, Numberphile video, 2013.
MATHEMATICA
Module[{nn=1000, fibs}, fibs=Fibonacci[Range[nn]]; Accumulate[Table[Length[ FindTransientRepeat[ Mod[fibs, n], 2][[2]]], {n, 70}]]] (* Harvey P. Dale, Jul 08 2023 *)
CROSSREFS
Cf. A001175.
Sequence in context: A008120 A301163 A301133 * A307623 A307624 A177833
KEYWORD
nonn
AUTHOR
Robert Bilinski, Sep 22 2019
STATUS
approved