A074991 Concatenation of n, n+1, n+2 divided by 3.

4, 41, 78, 115, 152, 189, 226, 263, 2970, 30337, 33704, 37071, 40438, 43805, 47172, 50539, 53906, 57273, 60640, 64007, 67374, 70741, 74108, 77475, 80842, 84209, 87576, 90943, 94310, 97677, 101044, 104411, 107778, 111145, 114512

Offset

0,1

Comments

If all the three numbers have the same number of digits then the terms are in A.P. with a common difference that follows a pattern with increase in number of digits. E.g. for n = 1 to 7 the common difference, c.d. = 37. For n = 10 to 97 c.d. = 3367, For three digit numbers from 100 to 997 it is 333667 etc.

Links

Table of n, a(n) for n=0..34.

Example

a(4) = 456/3 = 152.

Maple

read("transforms") ;
A074991 := proc(n)
        digcatL([n, n+1, n+2]) ;
        %/3 ;
end proc:
seq(A074991(n), n=0..50) ; # R. J. Mathar, Oct 04 2011

Mathematica

f[n_] := FromDigits@ Flatten@ IntegerDigits[{n, n + 1, n + 2}]/3; Array[f, 26, 0] (* Robert G. Wilson v *)

Crossrefs

Cf. A074992.

Equals (1/3) A001703.

Sequence in context: A296101 A002677 A119527 * A294972 A213823 A296800

Adjacent sequences: A074988 A074989 A074990 * A074992 A074993 A074994

Keyword

base,nonn

Author

Amarnath Murthy, Aug 31 2002

Extensions

Incorrect conjecture deleted by Colin Barker, Sep 26 2013

Status

approved