A267086 -id:A267086 - cp's OEIS frontend

A080465 Absolute difference between the two numbers formed by alternate digits of n.

1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 2, 1, 0, 1, 2, 3, 4, 5, 6, 7, 3, 2, 1, 0, 1, 2, 3, 4, 5, 6, 4, 3, 2, 1, 0, 1, 2, 3, 4, 5, 5, 4, 3, 2, 1, 0, 1, 2, 3, 4, 6, 5, 4, 3, 2, 1, 0, 1, 2, 3, 7, 6, 5, 4, 3, 2, 1, 0, 1, 2, 8, 7, 6, 5, 4, 3, 2, 1, 0, 1, 9, 8, 7, 6, 5, 4, 3, 2, 1, 0, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 9

Offset: 10

Amarnath Murthy, Mar 02 2003

Differs from A040115 first at a(110) = 9. - R. J. Mathar, Sep 19 2008

			a(132546) = |124 - 356| = 232.

T. D. Noe, Table of n, a(n) for n=10..10000

Cf. A080463, A080464, A267086.

A267085 Numbers such that the number formed by digits in even position divides, or is divisible by, the number formed by the digits in odd position; both must be nonzero.

Original entry on oeis.org

11, 12, 13, 14, 15, 16, 17, 18, 19, 21, 22, 24, 26, 28, 31, 33, 36, 39, 41, 42, 44, 48, 51, 55, 61, 62, 63, 66, 71, 77, 81, 82, 84, 88, 91, 93, 99, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 122, 124, 126, 128, 132, 135, 138, 142, 146, 150, 155, 162, 168, 174, 186, 198

Offset: 1

Eric Angelini and M. F. Hasler, Jan 10 2016

Termed "integears" by Eric Angelini. See A267086 for the "extended version" where zero is allowed.

Michael De Vlieger, Table of n, a(n) for n = 1..10000
E. Angelini, Integears, SeqFan list, Jan. 10, 2016.

See also A080463, A080464 and A080465.

Select[Range[10, 200], Or[If[#2 == 0, False, Mod[#1, #2] == 0], If[#2 == 0, False, Mod[#2, #1] == 0]] & @@ {FromDigits@ Extract[#, Range[1, Length@ #, 2] /. x_Integer -> {x}], FromDigits@ Extract[#, Range[2, Length@#, 2] /. x_Integer -> {x}]} &@ IntegerDigits@ # &] (* Michael De Vlieger, Jan 21 2016 *)

is(n,d=digits(n))={n=d*matrix(#d,2,z,s,if(z==Mod(s,2),10^((#d-z)\2))); n[2] && (n[1]%n[2]==0 || n[2]%n[1]==0)}

cp's OEIS Frontend

A080465 Absolute difference between the two numbers formed by alternate digits of n.

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