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 A162393 Fibonacci numbers equal to a promic number or an anagram of a promic number. 0
 2, 21, 6765, 10946, 2178309, 14930352, 102334155, 701408733, 1134903170, 4807526976, 20365011074, 32951280099, 225851433717, 1548008755920, 10610209857723, 72723460248141, 117669030460994, 498454011879264, 2111485077978050, 3416454622906707 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There are many terms overlapping with A162394. 13 of the first 20 terms are in A162394. - Chai Wah Wu, Dec 26 2016 LINKS EXAMPLE Fibonacci(1) = A000045(3) = 2 equals the promic number A002378(1). a(2) = Fibonacci(8) = A000045(8) = 21 is an anagram of 12 = A002378(3). a(3) = A000045(20) = 6765 is an anagram of 7656= A002378(87). a(4) = A000045(21) = 10946 is an anagram of 19460=A002378(139) and 96410 = A002378(310). a(5) = A000045(32) = 2178309 is an anagram of 7308912 = A002378(2703), of 8017392 = A002378(2831) and of 9731280 = A002378(3119). MAPLE Digits := 200 ; digFreq := proc(n) dgs := convert(n, base, 10) ; c := [seq(0, j=0..9)] ; for d in dgs do c := subsop(d+1= op(d+1, c)+1, c) ; od: c; end: isAna := proc(a, b) RETURN( digFreq(a) = digFreq(b)) ; end: isA002378 := proc(n) k := floor(sqrt(n)) ; RETURN(k*(k+1) = n ) ; end: A055642 := proc(n) max(1, ilog10(n)+1) ; end: for n from 1 do f := combinat[fibonacci](n) ; fdgs := A055642(f) ; for k from floor(sqrt(10^(fdgs-1))) do p := k*(k+1) ; if A055642(p) > fdgs then break; fi; if isAna(p, f) then printf("%d, \n", f) ; break; fi; od; od: # R. J. Mathar, Aug 14 2009 CROSSREFS Cf. A000045, A002378, A162394. Sequence in context: A195165 A201973 A278737 * A328993 A336768 A180700 Adjacent sequences:  A162390 A162391 A162392 * A162394 A162395 A162396 KEYWORD nonn,base AUTHOR Claudio Meller, Jul 02 2009 EXTENSIONS Six more terms from R. J. Mathar, Aug 14 2009 a(13)-a(18) from Donovan Johnson, Oct 11 2009 a(19)-a(20) from Chai Wah Wu, Jan 02 2017 STATUS approved

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Last modified September 28 05:33 EDT 2020. Contains 337392 sequences. (Running on oeis4.)