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A046937 Same rule as Aitken triangle (A011971) except a(0,0)=1, a(1,0)=2. 2
1, 2, 3, 3, 5, 8, 8, 11, 16, 24, 24, 32, 43, 59, 83, 83, 107, 139, 182, 241, 324, 324, 407, 514, 653, 835, 1076, 1400, 1400, 1724, 2131, 2645, 3298, 4133, 5209, 6609, 6609, 8009, 9733, 11864, 14509, 17807, 21940, 27149, 33758, 33758, 40367 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Reinhard Zumkeller, Rows n = 0..120 of triangle, flattened

EXAMPLE

1; 2,3; 3,5,8; 8,11,16,24;...

MATHEMATICA

a[0, 0] = 1; a[1, 0] = 2; a[n_, 0] := a[n-1, n-1]; a[n_, k_] := a[n, k] = a[n, k-1] + a[n-1, k-1]; Table[a[n, k], {n, 0, 9}, {k, 0, n}] // Flatten (* Jean-Fran├žois Alcover, Jun 06 2013 *)

PROG

(Haskell)

a046937 n k = a046937_tabl !! n !! k

a046937_row n = a046937_tabl !! n

a046937_tabl = [1] : iterate (\row -> scanl (+) (last row) row) [2, 3]

-- Reinhard Zumkeller, Jan 13 2013

CROSSREFS

Borders give A038561.

Sequence in context: A295352 A295606 A154690 * A247309 A069831 A017820

Adjacent sequences:  A046934 A046935 A046936 * A046938 A046939 A046940

KEYWORD

tabl,easy,nice,nonn

AUTHOR

N. J. A. Sloane, R. K. Guy

STATUS

approved

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Last modified June 2 08:00 EDT 2020. Contains 334767 sequences. (Running on oeis4.)