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A256080 Non-palindromic balanced numbers in base 16. 10

%I #5 Mar 15 2015 01:34:35

%S 4144,4416,4688,4866,4960,5138,5232,5410,5504,5635,5682,5776,5907,

%T 5954,6048,6179,6226,6320,6404,6451,6498,6592,6676,6723,6770,6864,

%U 6948,6995,7042,7136,7173,7220,7267,7314,7408,7445,7492,7539,7586,7717,7764,7811,7858,7942,7989

%N Non-palindromic balanced numbers in base 16.

%C Here a number is called balanced if the sum of digits weighted by their arithmetic distance from the "center" is zero. Palindromes (A029730) are trivially balanced, therefore they are excluded here.

%C This is the hexadecimal variant of the decimal version A256075 invented by Eric Angelini. See there, and the base-2 version A256082, for further information and examples.See A256090 for the primes in this sequence.

%o (PARI) is(n,b=16,d=digits(n,b),o=(#d+1)/2)=!(vector(#d,i,i-o)*d~)&&d!=Vecrev(d)

%Y Cf. A256082 - A256089, A256075, A256076, A256090.

%K nonn,base

%O 1,1

%A _M. F. Hasler_, Mar 14 2015

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Last modified March 28 22:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)