A130124 - OEIS

A130124

Triangle defined by A130123 * A002260, read by rows.

1, 2, 4, 4, 8, 12, 8, 16, 24, 32, 16, 32, 48, 64, 80, 32, 64, 96, 128, 160, 192, 64, 128, 192, 256, 320, 384, 448, 128, 256, 384, 512, 640, 768, 896, 1024, 256, 512, 768, 1024, 1280, 1536, 1792, 2048, 2304, 512, 1024, 1536, 2048, 2560, 3072, 3584, 4096, 4608, 5120

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,2

COMMENTS

Row sums = A001780, (1, 6, 24, 80, 240, ...).

LINKS

G. C. Greubel, Rows n = 1..100 of triangle, flattened

FORMULA

A130123 * A002260, where A130123 = the 2^n transform and A002260 = [1; 1, 2; 1, 2, 3; ...).

T(n, k) = 2^(n-1)*k. - G. C. Greubel, Jun 05 2019

EXAMPLE

First few rows of the triangle are:

2, 4;

4, 8, 12;

8, 16, 24, 32;

16, 32, 48, 64, 80;

32, 64, 96, 128, 160, 192; ...

MATHEMATICA

Table[2^(n-1)*k, {n, 1, 12}, {k, 1, n}]//Flatten (* G. C. Greubel, Jun 05 2019 *)

PROG

(PARI) {T(n, k) = 2^(n-1)*k}; \\ G. C. Greubel, Jun 05 2019

(Magma) [[2^(n-1)*k: k in [1..n]]: n in [1..12]]; // G. C. Greubel, Jun 05 2019

(Sage) [[2^(n-1)*k for k in (1..n)] for n in (1..12)] # G. C. Greubel, Jun 05 2019

(GAP) Flat(List([1..12], n-> List([1..n], k-> 2^(n-1)*k ))); # G. C. Greubel, Jun 05 2019

CROSSREFS

Cf. A001780, A130123, A002260.

Sequence in context: A338986 A319803 A055946 * A265417 A076342 A135268

Adjacent sequences: A130121 A130122 A130123 * A130125 A130126 A130127

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, May 11 2007

EXTENSIONS

More terms added by G. C. Greubel, Jun 05 2019

STATUS

approved