A088577 -id:A088577 - cp's OEIS frontend

A088576 Position of the first location of n in the decimal expansion of e.

14, 3, 1, 18, 11, 12, 21, 2, 4, 13, 196, 201, 371, 28, 224, 202, 95, 89, 3, 109, 112, 88, 253, 17, 34, 93, 31, 1, 5, 132, 72, 190, 111, 143, 144, 18, 20, 271, 86, 107, 67, 125, 98, 135, 240, 11, 104, 26, 229, 35, 236, 94, 16, 19, 77, 302, 154, 39, 326, 12, 21, 243, 33

Offset: 0

Cino Hilliard, Nov 19 2003

Except for a(0), the same as A051238.

			The first 7 is in the 2nd position of the digits of e, so a(7) = 2.

T. D. Noe, Table of n, a(n) for n = 0..10000
Eric Weisstein's World of Mathematics, e Digits
Eric Weisstein's World of Mathematics, Constant Digit Scanning

Cf. A001113 (decimal expansion of e).
Cf. A036900 (number of digits in the decimal expansion of e that must scanned to get all n-digit strings).
Cf. A032445 (positions in pi), A088577 (positions in phi).

Module[{nn=400,ed},ed=RealDigits[E,10,nn][[1]];Table[SequencePosition[ed,IntegerDigits[n],1][[1,1]],{n,0,70}]] (* Harvey P. Dale, Mar 30 2025 *)

trajedigitsd(n,m) = { default(realprecision,6000); p = exp(1)*10^5000; v = Vec(Str(p)); for(d=0,m, for(x=1,n, if(d<10, y = eval(v[x]), if(d<100, y = eval(v[x])*10 + eval(v[x+1]), if(d<1000, y = eval(v[x])*100 + eval(v[x+1])*10 + eval(v[x+2]), y = eval(v[x])*1000 + eval(v[x+1])*100 + eval(v[x+2])*10 + eval(v[x+3]) ); ); ); if(y == d,print1(x",");break); ); ) }

A362058 The location of the first occurrence of n in the decimal expansion of phi (the golden ratio, 1.6180339887...).

Original entry on oeis.org

4, 0, 19, 5, 11, 22, 1, 10, 3, 7, 231, 34, 121, 55, 254, 366, 0, 35, 2, 188, 19, 54, 62, 131, 78, 213, 67, 63, 51, 174, 40, 137, 181, 5, 26, 56, 28, 98, 32, 6, 105, 90, 347, 27, 58, 21, 70, 102, 15, 11, 214, 394, 66, 111, 57, 768, 30, 48, 22, 166, 68, 1, 50

Offset: 0

James C. McMahon, Apr 06 2023

Locations in the expansion of phi are numbered 0 for the digit before the decimal point, 1 for the first digit after the decimal point, and so on.

			The first occurrence of 0 in phi occurs 4 places after the decimal point, so a(0)=4; 5 first occurs 22 places after the decimal point, so a(5)=22; 10 first occurs 231 places after the decimal point so a(10)=231.

Cf. A001622 (phi)
Cf. A088577 (1-based locations).
Cf. A078197 (for e), A176341 (for Pi), A014777 (for Pi but different indexing).

Table[-1 + SequencePosition[#, IntegerDigits@ n][[1, 1]], {n, 0, 50}] &@ First@ RealDigits@ N[GoldenRatio, 10^4]

a(n) = A088577(n) - 1.

cp's OEIS Frontend

A088576 Position of the first location of n in the decimal expansion of e.

Views

Author

Keywords

Comments

Examples

Links

Crossrefs

Programs

Mathematica

PARI