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Search: id:A065411
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| A065411 |
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Fibonacci numbers whose digits sum to a square. |
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+0
1
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| 0, 1, 13, 144, 806515533049393, 61305790721611591, 83621143489848422977, 6356306993006846248183, 155576970220531065681649693, 78569350599398894027251472817058687522
(list; graph; listen)
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OFFSET
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1,3
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EXAMPLE
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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.
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PROGRAM
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(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)
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CROSSREFS
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Cf. A000045.
Adjacent sequences: A065408 A065409 A065410 this_sequence A065412 A065413 A065414
Sequence in context: A072351 A134489 A064525 this_sequence A038492 A014881 A048442
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KEYWORD
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base,nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Nov 22 2001
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EXTENSIONS
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Entry revised by njas, Jul 23 2006
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