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A067417 Triangle with columns built from certain power sequences. 10
1, 3, 1, 9, 4, 1, 27, 24, 5, 1, 81, 144, 45, 6, 1, 243, 864, 405, 72, 7, 1, 729, 5184, 3645, 864, 105, 8, 1, 2187, 31104, 32805, 10368, 1575, 144, 9, 1, 6561, 186624, 295245, 124416, 23625, 2592, 189, 10, 1 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The column sequences (without leading 0's) give: A000244 (powers of 3), A067411 for m=0..1 and A067419-24 for m=3..8. The third column (m=2) is A067403.

LINKS

Indranil Ghosh, Rows 0..125, flattened

FORMULA

a(n, m) = 1 if n=m; a(n, m)= (m+3)*(3*(m+1))^(n-m-1) if n>m>=0, else 0.

G.f. for column m: (x^m)*(1-2*m*x)/(1-3*(m+1)*x).

EXAMPLE

Triangle starts:

{1};

{3,1};

{9,4,1};

{27,24,5,1};

...

CROSSREFS

Cf. A009998 (triangle built from powers of (m+1)), A067402, A067410.

Sequence in context: A140071 A285280 A285266 * A187887 A016577 A270702

Adjacent sequences:  A067414 A067415 A067416 * A067418 A067419 A067420

KEYWORD

nonn,easy,tabl

AUTHOR

Wolfdieter Lang, Jan 25 2002

STATUS

approved

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Last modified May 26 21:58 EDT 2018. Contains 304645 sequences. (Running on oeis4.)