A249601 -id:A249601 - cp's OEIS frontend

A249600 Decimal expansion of 1/phi + 1/phi^3 + 1/phi^5, where phi is the Golden Ratio.

9, 4, 4, 2, 7, 1, 9, 0, 9, 9, 9, 9, 1, 5, 8, 7, 8, 5, 6, 3, 6, 6, 9, 4, 6, 7, 4, 9, 2, 5, 1, 0, 4, 9, 4, 1, 7, 6, 2, 4, 7, 3, 4, 3, 8, 4, 4, 6, 1, 0, 2, 8, 9, 7, 0, 8, 3, 5, 8, 8, 9, 8, 1, 6, 4, 2, 0, 8, 3, 7, 0, 2, 5, 5, 1, 2, 1, 9, 5, 9, 7, 6, 5, 7, 6, 5, 7, 6, 3, 3, 5, 1, 5, 1, 2

Offset: 0

N. J. A. Sloane, Nov 02 2014

1/phi + 1/phi^3 + 1/phi^5 + 1/phi^7 + 1/phi^9 + ... = 1.

David Snook, Email, Mar 31 2009

Cf. A094214, A249601.

With[{g=GoldenRatio},RealDigits[1/g+1/g^3+1/g^5,10,120][[1]]] (* Harvey P. Dale, Jul 16 2017 *)

Equals A010532 minus 8. - R. J. Mathar, Nov 09 2014

A004963 a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.

Original entry on oeis.org

0, 47, 94, 141, 188, 235, 282, 329, 376, 423, 470, 517, 564, 611, 658, 705, 752, 799, 846, 893, 940, 987, 1034, 1081, 1128, 1175, 1222, 1269, 1316, 1363, 1410, 1457, 1504, 1551, 1598, 1645, 1692, 1739, 1786, 1833, 1880, 1927, 1974, 2021, 2068, 2115, 2162, 2208, 2255, 2302, 2349

Offset: 0

N. J. A. Sloane

nonn

Paolo Xausa, Table of n, a(n) for n = 0..10000
Tanya Khovanova, Non Recursions

with(numtheory):a:=proc(n) if n=0 then 0 else mcombine(11*n,3*n,5*n,7*n) fi end: seq(a(n), n=0..38); # Zerinvary Lajos, Apr 11 2008

Ceiling[Range[0, 100]*GoldenRatio^8] (* Paolo Xausa, May 29 2025 *)

phi^8 = 46.97813... = 46+A249601. - R. J. Mathar, May 28 2025

More terms from Paolo Xausa, May 29 2025

cp's OEIS Frontend

A249600 Decimal expansion of 1/phi + 1/phi^3 + 1/phi^5, where phi is the Golden Ratio.

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