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A067410 Triangle with columns built from certain power sequences. 10
1, 2, 1, 4, 3, 1, 8, 12, 4, 1, 16, 48, 24, 5, 1, 32, 192, 144, 40, 6, 1, 64, 768, 864, 320, 60, 7, 1, 128, 3072, 5184, 2560, 600, 84, 8, 1, 256, 12288, 31104, 20480, 6000, 1008, 112, 9, 1, 512, 49152, 186624, 163840 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The column sequences (without leading 0's)give: A000079, A002001, A067411-2 for m=0..3 and A067413-6 for m=5..8. The fifth column (m=4) is [1,6,60,600,6000,60000,...].

LINKS

Indranil Ghosh, Rows 0..125, flattened

FORMULA

a(n, m) = 1 if n=m; a(n, m)= (m+2)*(2*(m+1))^(n-m-1) if n>m>=0, else 0.

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

EXAMPLE

Triangle starts:

{1};

{2,1};

{4,3,1};

{8,12,4,1};

...

CROSSREFS

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

Sequence in context: A051129 A319075 A264871 * A213947 A188403 A248929

Adjacent sequences:  A067407 A067408 A067409 * A067411 A067412 A067413

KEYWORD

nonn,easy,tabl

AUTHOR

Wolfdieter Lang, Jan 25 2002

STATUS

approved

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Last modified May 28 17:37 EDT 2020. Contains 334684 sequences. (Running on oeis4.)