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A178493 Numbers of powers of phi in base-phi expansion of phi-antipalindromic numbers (A178482). 1
1, 2, 3, 2, 3, 4, 5, 2, 3, 4, 5, 4, 5, 6, 7, 2, 3, 4, 5, 4, 5, 6, 7, 4, 5, 6, 7, 6, 7, 8, 9, 2, 3, 4, 5, 4, 5, 6, 7, 4, 5, 6, 7, 6, 7, 8, 9, 4, 5, 6, 7, 6, 7, 8, 9, 6, 7, 8, 9, 8, 9, 10, 11, 2, 3, 4, 5, 4, 5, 6, 7, 4, 5, 6, 7, 6, 7, 8, 9, 4, 5, 6, 7, 6, 7, 8 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..1000 from T. D. Noe)

Eric Weisstein's World of Mathematics, Phi Number System

MATHEMATICA

powNum[1] = 1; powNum[n_] := Module[{d = RealDigits[n, GoldenRatio, 2*Ceiling[Log[GoldenRatio, n]]]}, e = d[[2]] - Flatten @ Position[d[[1]], 1]; If[Reverse[e] == -e, Length[e], 0]]; Select[Array[powNum, 400], # > 0 &] (* Amiram Eldar, Apr 23 2020 *)

CROSSREFS

Cf. A178482, A005248, A055778, A104605, A104626, A104627, A104628.

Sequence in context: A124071 A034697 A110157 * A339902 A286581 A286599

Adjacent sequences:  A178490 A178491 A178492 * A178494 A178495 A178496

KEYWORD

nonn,base

AUTHOR

Vladimir Shevelev, May 28 2010, May 30 2010

EXTENSIONS

Extended by T. D. Noe, May 20 2011

STATUS

approved

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Last modified December 6 13:45 EST 2021. Contains 349563 sequences. (Running on oeis4.)