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A135293 Differences between successive numbers whose sum of digits in base 3 is 2. 1
2, 2, 2, 4, 2, 6, 10, 2, 6, 18, 28, 2, 6, 18, 54, 82, 2, 6, 18, 54, 162, 244, 2, 6, 18, 54, 162, 486, 730, 2, 6, 18, 54, 162, 486, 1458, 2188, 2, 6, 18, 54, 162, 486, 1458, 4374, 6562, 2, 6, 18, 54, 162, 486, 1458, 4374, 13122 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

First differences of A052216 when the entries in that sequence are interpreted as base 3 numbers.

Can be regarded as a triangle, where T(0,0)=2, T(n+1,0) = T(n,0)+T(n,n), T(n+1,m) = T(n,m) for 0 < m <= n and T(n+1,n+1) = sum of T(n+1,0..n)

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows

FORMULA

T(n,m) = 2*3^(m-1) = A025192(m) for m>0. T(n,0) = 2*A124302(n). - Franklin T. Adams-Watters, Sep 29 2011

EXAMPLE

triangle begins:

2

2 2

4 2 6

10 2 6 18

28 2 6 18 54

82 2 6 18 54 162

244 2 6 18 54 162 486.

MATHEMATICA

T[0, 0] := 2; T[n_, 0] := 3^(n - 1) + 1; T[n_, m_] := 2*3^(m - 1); Table[T[n, m], {n, 0, 5}, {m, 0, n}] (* G. C. Greubel, Oct 09 2016 *)

Join[{2}, Differences[Select[Range[50000], Total[IntegerDigits[#, 3]]==2&]]] (* Harvey P. Dale, Jul 04 2019 *)

CROSSREFS

Cf. A052216.

Sequence in context: A066243 A278242 A035580 * A216951 A320305 A064025

Adjacent sequences:  A135290 A135291 A135292 * A135294 A135295 A135296

KEYWORD

nonn,tabl,base

AUTHOR

Adam Shelly (adam.shelly(AT)gmail.com), Dec 04 2007, Dec 05 2007

EXTENSIONS

Edited by Franklin T. Adams-Watters, Sep 29 2011

STATUS

approved

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Last modified June 21 07:27 EDT 2021. Contains 345358 sequences. (Running on oeis4.)