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A152920 Triangle read by rows: triangle A062111 reversed. 10
0, 1, 1, 2, 3, 4, 3, 5, 8, 12, 4, 7, 12, 20, 32, 5, 9, 16, 28, 48, 80, 6, 11, 20, 36, 64, 112, 192, 7, 13, 24, 44, 80, 144, 256, 448, 8, 15, 28, 52, 96, 176, 320, 576, 1024, 9, 17, 32, 60, 112, 208, 384, 704, 1280, 2304, 10, 19, 36, 68, 128, 240, 448, 832, 1536, 2816 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

Table of n, a(n) for n=0..64.

FORMULA

Row sums: (2^n-1)(n+1)=A058877(n). [R. J. Mathar, Jan 22 2009]

T(2n,n) = 3*n*2^(n-1) = 3*A001787(n). [Philippe Deléham, Apr 20 2009]

EXAMPLE

Triangle starts:

0;

1, 1;

2, 3, 4;

3, 5, 8, 12;

4, 7, 12, 20, 32;

...

MAPLE

A062111 := proc(n, k) (k+n)*2^(k-n-1) ; end: A152920 := proc(n, k) A062111(n-k, n) ; end: for n from 0 to 15 do for k from 0 to n do printf("%d, ", A152920(n, k)) ; od: od: # R. J. Mathar, Jan 22 2009

MATHEMATICA

t[0, k_] := k; t[n_, k_] := t[n, k] = t[n - 1, k] + t[n - 1, k + 1]; Table[t[n - k, k], {n, 0, 10}, {k, n, 0, -1}] // Flatten (* Jean-François Alcover, Sep 11 2016 *)

CROSSREFS

Cf. A001787.

Columns : A001787, A001792, A045623, A045891, A034007, A111297, A159694, A159695, A159696, A159697. [Philippe Deléham, Apr 20 2009]

Sequence in context: A319350 A078908 A159797 * A288778 A290139 A317588

Adjacent sequences:  A152917 A152918 A152919 * A152921 A152922 A152923

KEYWORD

nonn,tabl,easy

AUTHOR

Paul Curtz, Dec 15 2008

EXTENSIONS

Edited by N. J. A. Sloane, Dec 19 2008

More terms from R. J. Mathar, Jan 22 2009

STATUS

approved

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Last modified May 19 14:34 EDT 2019. Contains 323394 sequences. (Running on oeis4.)