A109211 In the decimal expansion of Pi, positions of the final digit of subsequences with total sum = 100.

21, 37, 47, 48, 57, 60, 63, 69, 74, 75, 85, 85, 88, 89, 91, 95, 118, 121, 126, 132, 134, 139, 141, 146, 150, 151, 156, 163, 164, 167, 171, 173, 173, 178, 180, 182, 186, 186, 187, 189, 189, 192, 194, 195, 198, 202, 203, 205, 210, 218, 220, 227, 227, 233, 253

Offset

1,1

Links

Table of n, a(n) for n=1..55.

Formula

a(n) = A109210(n) + A109212(n) - 1. [corrected by Jinyuan Wang, Mar 22 2020]

Prog

(PARI) default(realprecision, 101000); v=digits(floor(Pi*10^10^5));
lista(nn) = {my(x=21, s=103); for(k=2, nn, s-=v[k-1]; if(s==100, print1(x, ", "), while(s<100, s+=v[x++]); if(s==100, print1(x, ", ")))); } \\ Jinyuan Wang, Mar 22 2020

Crossrefs

Cf. A000796, A109210, A109212.

Sequence in context: A043759 A043768 A083567 * A224701 A050782 A061906

Adjacent sequences: A109208 A109209 A109210 * A109212 A109213 A109214

Keyword

nonn,base

Author

Zak Seidov, Jun 22 2005

Status

approved