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A138385 Number of smaller Fibonacci numbers contained in the n-th Fibonacci number in its decimal representation. 3
0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 3, 2, 1, 2, 1, 3, 2, 3, 5, 2, 3, 3, 4, 5, 6, 4, 4, 2, 5, 4, 4, 4, 8, 5, 2, 2, 4, 5, 4, 6, 4, 3, 5, 5, 6, 4, 4, 6, 5, 4, 5, 4, 6, 6, 6, 7, 7, 4, 6, 8, 6, 3, 6, 7, 5, 6, 8, 6, 6, 6, 5, 8, 6, 6, 7, 6, 5, 4, 6, 6, 5, 4, 5, 6, 8, 7, 6, 5, 6, 7, 8, 10, 6, 6, 7, 7, 6 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,8

COMMENTS

A138390 and A138391 give record values and where they occur.

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Fibonacci Number

EXAMPLE

A000045(40) = 102334155: a(40) = #{0,1,2,3,5,34,55,233} = 8;

A000045(41) = 165580141: a(41) = #{0,1,5,8,55} = 5;

A000045(42) = 267914296: a(42) = #{1,2} = 2;

A000045(43) = 433494437: a(43) = #{3,34} = 2;

A000045(44) = 701408733: a(44) = #{0,1,3,8} = 4;

A000045(45) = 1134903170: a(45) = #{0,1,3,13,34} = 5.

PROG

(Haskell)import Data.List (isInfixOf)

a138385 n = a138385_list !! n

a138385_list = 0 : h [] (map show $ 0 : drop 2 a000045_list) where

   h uss (vs:vss) = length [xs | xs <- uss, xs `isInfixOf` vs] :

                    h (vs : uss) vss

-- Reinhard Zumkeller, Jul 06 2014

CROSSREFS

Sequence in context: A030410 A085301 A337565 * A030614 A328615 A128016

Adjacent sequences:  A138382 A138383 A138384 * A138386 A138387 A138388

KEYWORD

nonn,base

AUTHOR

Reinhard Zumkeller, Mar 18 2008

STATUS

approved

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Last modified May 6 08:24 EDT 2021. Contains 343580 sequences. (Running on oeis4.)