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A067425 Triangle with columns built from certain power sequences. 5
1, 4, 1, 16, 5, 1, 64, 40, 6, 1, 256, 320, 72, 7, 1, 1024, 2560, 864, 112, 8, 1, 4096, 20480, 10368, 1792, 160, 9, 1, 16384, 163840, 124416, 28672, 3200, 216, 10, 1, 65536, 1310720, 1492992, 458752, 64000 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

The column sequences (without leading 0's) give: A000302 (powers of 4), A067412, A067419 and A067404 for m=0..3; A067426-9 for m=5..8. The fifth column (m=4) gives [1, 8, 160, 3200, 64000, 1280000, 25600000, ...].

LINKS

Indranil Ghosh, Rows 0..125, flattened

FORMULA

a(n, m) = 1 if n=m; a(n, m)= (m+4)*(4*(m+1))^(n-m-1) if n > m >= 0, else 0.

G.f. for column m: (x^m)*(1-3*m*x)/(1-4*(m+1)*x).

EXAMPLE

Triangle starts:

   1;

   4,  1;

  16,  5,  1;

  64, 40,  6,  1;

  ...

CROSSREFS

Cf. A009998, A067410, A067417.

Sequence in context: A187926 A285281 A285267 * A188481 A138681 A038231

Adjacent sequences:  A067422 A067423 A067424 * A067426 A067427 A067428

KEYWORD

nonn,easy,tabl

AUTHOR

Wolfdieter Lang, Jan 25 2002

STATUS

approved

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Last modified September 28 13:24 EDT 2020. Contains 337393 sequences. (Running on oeis4.)