The OEIS is supported by the many generous donors to the OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A065411 Fibonacci numbers whose digits sum to a square. 1
 0, 1, 13, 144, 806515533049393, 61305790721611591, 83621143489848422977, 6356306993006846248183, 155576970220531065681649693, 78569350599398894027251472817058687522 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 LINKS Harry J. Smith, Table of n, a(n) for n = 1..50 EXAMPLE 144 is in the sequence because (1) it is a Fibonacci number and (2) the sum of its digits 1 + 4 + 4 = 9 is a square. PROG (PARI) {m=200; print1(0, ", "); for(n=2, m, a=fibonacci(n); s=0; k=a; while(k>0, d=divrem(k, 10); k=d[1]; s=s+d[2]); if(issquare(s), print1(a, ", ")))} \\ Luc Stevens (lms022(AT)yahoo.com), Apr 15 2006 (PARI) SumD(x)= { local(s=0); while (x>9, s+=x-10*(x\10); x\=10); return(s + x) } { n=0; for (m=0, 10^9, if (m==2, next); f=fibonacci(m); if (issquare(SumD(f)), write("b065411.txt", n++, " ", f); if (n==50, return)) ) } \\ Harry J. Smith, Oct 18 2009 CROSSREFS Cf. A000045. Sequence in context: A072351 A134489 A064525 * A354466 A038492 A270579 Adjacent sequences: A065408 A065409 A065410 * A065412 A065413 A065414 KEYWORD base,nonn AUTHOR Jason Earls, Nov 22 2001 EXTENSIONS Entry revised by N. J. A. Sloane, Jul 23 2006 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified July 13 21:32 EDT 2024. Contains 374288 sequences. (Running on oeis4.)