A099052 All palindromes of length greater than 1 in the decimal expansion of e, ordered by the ending position of the palindrome. Multiple terms ending at the same position are ordered by the starting position of the palindrome.

828, 18281, 818, 28182, 8281828, 828, 353, 747, 66, 2662, 77, 757, 99, 999, 99, 959, 595, 66, 9669, 696, 676, 77, 2772, 66, 303, 353, 535, 525, 66, 66, 919, 39193, 99, 181, 66, 33, 595, 323, 232, 434, 94349, 323, 33, 88, 525, 101, 11, 383, 99, 88, 4884, 44

Offset

1,1

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Prog

(Python)
from sympy import E
def ispal(s): return all(s[i] == s[-1-i] for i in range(len(s)//2))
def aupto(maxdigs):
    digits_e = str(E.n(maxdigs+4))[2:]
    return [int(s) for s in (digits_e[j:k+1] for k in range(1, maxdigs)
        for j in range(k)) if s[0] != '0' and ispal(s)]
print(aupto(240)) # Michael S. Branicky, Jun 28 2021

Crossrefs

Cf. A001113 (e).

Sequence in context: A260013 A234085 A226536 * A238024 A015991 A065215

Adjacent sequences: A099049 A099050 A099051 * A099053 A099054 A099055

Keyword

nonn,base

Author

Matthew Howells (mathmatt(AT)gmail.com), Nov 13 2004

Extensions

Offset changed and a(50) and beyond from Michael S. Branicky, Jun 28 2021

Status

approved