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A074991 Concatenation of n, n+1, n+2 divided by 3. 20
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 (list; graph; refs; listen; history; internal format)
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 increse 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.

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] (* RGWv *)

CROSSREFS

Cf. A074992.

Equals (1/3) A001703.

Sequence in context: A059918 A002677 A119527 * A068169 A069631 A069616

Adjacent sequences:  A074988 A074989 A074990 * A074992 A074993 A074994

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 31 2002

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Last modified February 16 05:32 EST 2012. Contains 205860 sequences.