A038100 -id:A038100 - cp's OEIS frontend

A038099 Numbers k such that k > first location of string of k in decimal expansion of Pi.

4, 5, 9, 14, 15, 23, 26, 32, 33, 35, 38, 41, 43, 46, 50, 51, 53, 58, 59, 62, 64, 65, 69, 71, 74, 75, 78, 79, 81, 82, 83, 84, 86, 88, 89, 92, 93, 94, 95, 97, 98, 99, 105, 117, 132, 141, 148, 159, 164, 169, 170, 172, 174, 193, 197, 208, 209, 211, 214, 223, 229

Offset: 1

Patrick De Geest, Feb 15 1999

'Location' starts from the first digit after the decimal point and refers to the first digit of a(n).

Jinyuan Wang, Table of n, a(n) for n = 1..2000
Dave Andersen, Pi-Search Page

Cf. A000796, A014777, A038100.

from sympy import pi
from itertools import count, islice
digits_of_pi = str(pi.n(10**5))[1:-1]
def agen():
    for k in count(1):
        kloc = digits_of_pi.find(str(k))
        assert kloc > 0, ("Increase precision", k)
        if k > kloc: yield k
print(list(islice(agen(), 61))) # Michael S. Branicky, Jul 10 2022

a(n) > A014777(n). - Michael S. Branicky, Jul 10 2022

Offset changed to 1 by Jinyuan Wang, Sep 04 2021

A280532 a(1) = a(2) = 1, a(n) = A014777(a(n-1) + a(n-2)), n >= 3.

Original entry on oeis.org

1, 1, 6, 13, 37, 31, 605, 1411, 7174, 15567, 608953, 78903, 334535, 611552, 105928, 2557047, 2979162, 3263358, 6242520, 7825254, 37404834, 267494881, 639174488

Offset: 1

Anders Hellström, Jan 13 2017

Dave Andersen, Probability of Finding Strings In Pi
Anders Hellström, Sage program
James Taylor, Irrational Numbers Search Engine (Search 2*10^9 decimal digits of Pi)

Cf. A014777, A032445, A038100, A176341, A232013.

Module[{a = {1, 1}, s = First@ RealDigits[N[Pi, 10^7]]}, Do[AppendTo[a, -1 + SequencePosition[s, IntegerDigits[ a[[n - 1]] + a[[n - 2]] ]][[1, 1]]], {n, 3, 20}]; a] (* Michael De Vlieger, Jan 14 2017 *)

A038101 First location of palindrome a(n) in decimal expansion of Pi is palindromic.

Original entry on oeis.org

1, 2, 3, 4, 5, 6, 8, 9, 99, 141, 151, 313, 343, 505, 535, 585, 767, 959, 1771, 6446, 9669, 15751, 32823, 39193, 48184, 59995, 65456, 73137, 85858, 323323, 944449, 1081801, 1155511, 1299921, 1491941, 5514155, 5870785, 7639367, 7913197, 7940497, 8156518, 8257528

Offset: 1

Patrick De Geest, Feb 15 1999

'Location' starts from the first digit after the decimal point and refers to the first digit of the palindrome.

Dave Andersen, The Pi-Search Page
Patrick De Geest, World!Of Numbers

Cf. A014777, A038099, A038100.

Offset changed to 1 by and more terms from Jinyuan Wang, Sep 04 2021

cp's OEIS Frontend

A038099 Numbers k such that k > first location of string of k in decimal expansion of Pi.

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A280532 a(1) = a(2) = 1, a(n) = A014777(a(n-1) + a(n-2)), n >= 3.

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Mathematica

A038101 First location of palindrome a(n) in decimal expansion of Pi is palindromic.

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Author

Keywords

Comments

Links

Crossrefs

Extensions