A054286 Positions of 0's in the decimal expansion of the Golden Ratio (sqrt(5)+1)/2.

5, 21, 40, 42, 48, 66, 70, 78, 84, 87, 90, 107, 110, 145, 146, 148, 164, 177, 196, 202, 207, 216, 225, 227, 233, 267, 271, 274, 276, 311, 316, 326, 339, 359, 365, 373, 384, 385, 392, 414, 419, 423, 425, 426, 427, 433, 449, 460, 464, 489, 490, 493, 498, 501, 526, 532, 533, 565, 571, 572, 574

Offset

1,1

Comments

Also: positions of 0's in the decimal expansion of sqrt(5)/2. - M. F. Hasler, Jan 17 2018

Links

M. F. Hasler, Table of n, a(n) for n = 1..1020 (all terms <= 10^4).

Mathematica

Flatten[Position[RealDigits[(Sqrt[5]+1)/2, 10, 1000][[1]], 0]] (* Harvey P. Dale, Mar 04 2014 *)

Prog

(PARI) for(k=0, 999, sqrtint(125*100^k)%10||print1(k+2", ")) \\ M. F. Hasler, Jan 17 2018

Crossrefs

Analog for other constants: A054276 (exp(1)), A054296 (sqrt(2)), A054306 (Euler's gamma).

Sequence in context: A372518 A147345 A146022 * A366346 A031292 A147331

Adjacent sequences: A054283 A054284 A054285 * A054287 A054288 A054289

Keyword

nonn,base

Author

Simon Plouffe, Feb 20 2000

Status

approved