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A173261 Array T(n,k) read by antidiagonals: T(n,2k)=1, T(n,2k+1)=n, n>=2, k>=0. 0
1, 1, 2, 1, 3, 1, 1, 4, 1, 2, 1, 5, 1, 3, 1, 1, 6, 1, 4, 1, 2, 1, 7, 1, 5, 1, 3, 1, 1, 8, 1, 6, 1, 4, 1, 2, 1, 9, 1, 7, 1, 5, 1, 3, 1, 1, 10, 1, 8, 1, 6, 1, 4, 1, 2, 1, 11, 1, 9, 1, 7, 1, 5, 1, 3, 1, 1, 12, 1, 10, 1, 8, 1, 6, 1, 4, 1, 2, 1, 13, 1, 11, 1, 9, 1, 7, 1, 5, 1, 3, 1, 1, 14, 1, 12, 1, 10, 1, 8, 1, 6 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

2,3

COMMENTS

One may define another array B(n,0)=-1, B(n,k) = T(n,k-1)+2*B(n,k-1), n>=2,  which also starts in columns k>=0, as follows:

-1, -1, 0, 1, 4, 9, 20, 41, 84, 169, 340, 681, 1364, 2729 # A084639

-1, -1, 1, 3, 9, 19, 41, 83, 169, 339, 681, 1363, 2729

-1, -1, 2, 5, 14, 29, 62, 125, 254, 509, 1022, 2045, 4094

-1, -1, 3, 7, 19, 39, 83, 167, 339, 679, 1363, 2727 # A173114

B(n,k) = (n-1)*A001045(k)-T(n,k).

First differences are B(n,k+1)-B(n,k)= (n-1)*A001045(k).

LINKS

Table of n, a(n) for n=2..102.

EXAMPLE

The array T(n,k) starts in row n=2 with columns k>=0 as:

1,2,1,2,1,2,1,2,1,2,1,2  A000034

1,3,1,3,1,3,1,3,1,3,1,3  A010684

1,4,1,4,1,4,1,4,1,4,1,4  A010685

1,5,1,5,1,5,1,5,1,5,1,5  A010686

CROSSREFS

Sequence in context: A335124 A262891 A178340 * A084296 A209235 A062534

Adjacent sequences:  A173258 A173259 A173260 * A173262 A173263 A173264

KEYWORD

nonn,tabl,easy

AUTHOR

Paul Curtz, Feb 14 2010

STATUS

approved

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Last modified August 10 08:22 EDT 2020. Contains 336368 sequences. (Running on oeis4.)