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A334530 Numbers that are both binary palindromes and binary Smith numbers. 2
15, 51, 85, 471, 765, 771, 843, 951, 1023, 1285, 1501, 1707, 2015, 3687, 3831, 4095, 4369, 4777, 5621, 5917, 6077, 6483, 6643, 6891, 6939, 7003, 7099, 7447, 7671, 10041, 11565, 12093, 13011, 14631, 15063, 15855, 20345, 20473, 22517, 23213, 26067, 26483, 26611 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

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

EXAMPLE

15 is a term since its binary representation, 1111, is palindromic, and its prime factorization, 3 * 5, is 11 * 101 in binary representation, and 1 + 1 + 1 + 1 = (1 + 1) + (1 + 0 + 1).

MATHEMATICA

binPalSmithQ[n_] := PalindromeQ[(d = IntegerDigits[n, 2])] && CompositeQ[n] && Plus @@ (Last@# * DigitCount[First@#, 2, 1] & /@ FactorInteger[n]) == Plus @@ d; Select[Range[10^5], binPalSmithQ]

CROSSREFS

Intersection of A006995 and A278909.

Cf. A098834.

Sequence in context: A235040 A075933 A075929 * A044117 A044498 A138082

Adjacent sequences:  A334527 A334528 A334529 * A334531 A334532 A334533

KEYWORD

nonn,base

AUTHOR

Amiram Eldar, May 05 2020

STATUS

approved

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Last modified August 7 11:34 EDT 2020. Contains 336275 sequences. (Running on oeis4.)