A364378 Numbers whose representation in Jacobsthal greedy base (A265747) is palindromic.

0, 1, 2, 4, 6, 9, 12, 20, 22, 27, 36, 41, 44, 60, 68, 84, 86, 97, 112, 123, 132, 143, 158, 169, 172, 204, 220, 252, 260, 292, 308, 340, 342, 363, 396, 417, 432, 453, 486, 507, 516, 537, 570, 591, 606, 627, 660, 681, 684, 748, 780, 844, 860, 924, 956, 1020, 1028

Offset

1,3

Comments

A128209(n) = A001045(n) + 1 is a term for n >= 3, since its representation is two 1's with n-3 0's between them.

A084639(n) is a term for n >= 1 since its representation is n 1's.

A014825(n) is a term for n >= 1 since its representation is n-1 0's interleaved with n 1's.

Links

Amiram Eldar, Table of n, a(n) for n = 1..10000

Example

The first 10 terms are:
   n  a(n)  A265747(a(n))
  --  ----  -------------
   1     0              0
   2     1              1
   3     2              2
   4     4             11
   5     6            101
   6     9            111
   7    12           1001
   8    20           1111
   9    22          10001
  10    27          10101

Mathematica

palJacobQ[n_] := PalindromeQ[A265747[n]]; Select[Range[0, 1000], palJacobQ] (* using A265747[n] *)

Prog

(PARI) is(n) = {my(dig = digits(A265747(n))); dig == Vecrev(dig); } \\ using A265747(n)

Crossrefs

Cf. A001045, A014825, A084639, A128209, A265747.

Similar sequences: A002113, A006995, A014190, A094202, A331191, A351712, A351717, A352087, A352105, A352319, A352341, A364214.

Sequence in context: A173784 A094660 A005690 * A005779 A351075 A261417

Adjacent sequences: A364375 A364376 A364377 * A364379 A364380 A364381

Keyword

nonn,base

Author

Amiram Eldar, Jul 21 2023

Status

approved