A100082 First occurrence of n in the fractional part of the cube root of 2, starting with n=0.

7, 6, 1, 15, 8, 2, 17, 14, 10, 3, 6, 61, 62, 74, 42, 48, 16, 392, 193, 57, 346, 5, 31, 461, 90, 1, 148, 28, 32, 67, 145, 15, 328, 621, 267, 34, 92, 81, 232, 75, 126, 99, 147, 91, 268, 139, 43, 18, 12, 8, 35, 41, 66, 255, 101, 65, 88, 37, 207, 2, 25, 112, 89, 266, 17, 72, 115

Offset: 0

Author

Mark Hudson (mrmarkhudson(AT)hotmail.com), Nov 04 2004

Keywords

• base
• easy
• nonn

Examples

			The fractional part of 2^(1/3) begins 259921049894873164767210607278... so the first occurrence of 0 is at position 7; the first occurrence of 1 is at position 6; etc.
		

Links

• Eric Weisstein's World of Mathematics, Delian Constant

Crossrefs

Cf. A002580 for digits of the cube root of 2.

Programs

Mathematica

Join[{7},With[{cr2=Rest[RealDigits[2^(1/3),10,1000][[1]]]},Flatten[ Table[Position[ Partition[cr2,IntegerLength[n],1],IntegerDigits[n],1,1],{n,70}]]]] (* Harvey P. Dale, Nov 28 2012 *)