A352088 Numbers whose binary and minimal tribonacci representations are both palindromic.

0, 1, 3, 5, 45, 2193, 7671, 35889, 53835, 74825, 3026205, 31953871, 86582437, 117169915, 128873391, 701373669, 868430067, 15262037703, 45305389845, 104484026691, 614071181169, 14894476590363, 24382189266573, 86808432666553, 869188423288227, 1352557858988953

Offset

1,3

Links

Table of n, a(n) for n=1..26.

Example

The first 5 terms are:
  n  a(n)  A007088(a(n))  A278038(a(n))
  -------------------------------------
  1     0              0              0
  2     1              1              1
  3     3             11             11
  4     5            101            101
  5    45         101101        1000001

Mathematica

t[1] = 1; t[2] = 2; t[3] = 4; t[n_] := t[n] = t[n - 1] + t[n - 2] + t[n - 3]; tribPalQ[n_] := Module[{s = {}, m = n, k}, While[m > 0, k = 1; While[t[k] <= m, k++]; k--; AppendTo[s, k]; m -= t[k]; k = 1]; PalindromeQ[FromDigits @ IntegerDigits[Total[2^(s - 1)], 2]]]; Join[{0}, Select[Range[1, 10^5, 2], PalindromeQ[IntegerDigits[#, 2]] && tribPalQ[#] &]]

Crossrefs

Intersection of A006995 and A352087.

Cf. A007088, A278038.

Similar sequences: A095309, A331193, A331894, A351713, A351718.

Sequence in context: A062633 A240559 A361904 * A307632 A227743 A335752

Adjacent sequences: A352085 A352086 A352087 * A352089 A352090 A352091

Keyword

nonn,base

Author

Amiram Eldar, Mar 04 2022

Status

approved