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A136482 Triangle read by rows: T(n,k) = 2*A007318(n,k) - A034851(n,k) (i.e., twice Pascal's triangle - the Losanitch triangle). 2
1, 1, 1, 1, 3, 1, 1, 4, 4, 1, 1, 6, 8, 6, 1, 1, 7, 14, 14, 7, 1, 1, 9, 21, 30, 21, 9, 1, 1, 10, 30, 51, 51, 30, 10, 1, 1, 12, 40, 84, 102, 84, 40, 12, 1, 1, 13, 52, 124, 186, 186, 124, 52, 13, 1, 1, 15, 65, 180, 310, 378, 310, 180, 65, 15, 1, 1, 16, 80, 245, 490, 688, 688, 490, 245 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are apparently in A135098. - R. J. Mathar, May 01 2008

LINKS

Table of n, a(n) for n=0..74.

EXAMPLE

Row n=3 is 2*(1,3,3,1) - (1,2,2,1) = (1,4,4,1).

MAPLE

A007318 := proc(n, k) binomial(n, k) ; end: A051159 := proc(n, k) binomial(n mod 2, k mod 2)*binomial(floor(n/2), floor(k/2)) ; end: A034851 := proc(n, k) (A007318(n, k)+A051159(n, k))/2 ; end: A136482 := proc(n, k) 2*A007318(n, k)-A034851(n, k) ; end: for n from 0 to 13 do for k from 0 to n do printf("%d, ", A136482(n, k)) ; od: od: # R. J. Mathar, May 01 2008

CROSSREFS

Cf. A007318, A034851, A136489.

Sequence in context: A131402 A238498 A026626 * A026648 A026747 A026374

Adjacent sequences:  A136479 A136480 A136481 * A136483 A136484 A136485

KEYWORD

nonn,tabl

AUTHOR

Gary W. Adamson, Dec 31 2007

EXTENSIONS

Edited and corrected by R. J. Mathar, May 01 2008

STATUS

approved

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Last modified January 25 16:01 EST 2022. Contains 350572 sequences. (Running on oeis4.)