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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
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
KEYWORD
base,nonn
AUTHOR
Jason Earls, Nov 22 2001
EXTENSIONS
Entry revised by N. J. A. Sloane, Jul 23 2006
STATUS
approved

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