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 A152920 Triangle read by rows: triangle A062111 reversed. 10

%I

%S 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,

%T 192,7,13,24,44,80,144,256,448,8,15,28,52,96,176,320,576,1024,9,17,32,

%U 60,112,208,384,704,1280,2304,10,19,36,68,128,240,448,832,1536,2816

%N Triangle read by rows: triangle A062111 reversed.

%F Row sums: (2^n-1)(n+1)=A058877(n). [_R. J. Mathar_, Jan 22 2009]

%F T(2n,n) = 3*n*2^(n-1) = 3*A001787(n). [_Philippe Deléham_, Apr 20 2009]

%e Triangle starts:

%e 0;

%e 1, 1;

%e 2, 3, 4;

%e 3, 5, 8, 12;

%e 4, 7, 12, 20, 32;

%e ...

%p 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

%t 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 *)

%Y Cf. A001787.

%Y Columns : A001787, A001792, A045623, A045891, A034007, A111297, A159694, A159695, A159696, A159697. [_Philippe Deléham_, Apr 20 2009]

%K nonn,tabl,easy

%O 0,4

%A _Paul Curtz_, Dec 15 2008

%E Edited by _N. J. A. Sloane_, Dec 19 2008

%E More terms from _R. J. Mathar_, Jan 22 2009

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Last modified June 16 07:14 EDT 2019. Contains 324145 sequences. (Running on oeis4.)