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A122496 Triangle read by rows: Definf f[i, k, l] = binomial[k - l, i - Min[k, l]]/2^(k - l). Then a(n,m) =f[n, 0, m] 0
1, 0, -2, 0, 2, 12, 0, -2, -16, -80, 0, 2, 20, 120, 560, 0, -2, -24, -168, -896, -4032, 0, 2, 28, 224, 1344, 6720, 29568, 0, -2, -32, -288, -1920, -10560, -50688, -219648, 0, 2, 36, 360, 2640, 15840, 82368, 384384, 1647360, 0, -2, -40, -440, -3520, -22880, -128128, -640640, -2928640, -12446720, 0, 2, 44 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

Ulam combinatorial gene law as limited triangular array.

REFERENCES

S. M. Ulam, Problems in Modern Mathematics,John Wiley and Sons, New York,1960, page 87

LINKS

Table of n, a(n) for n=1..58.

EXAMPLE

1

0,-2

0, 2, 12

0, -2, -16, -80

0, 2, 20, 120, 560

0, -2, -24, -168, -896, -4032

MATHEMATICA

f[i_, k_, l_] = Binomial[k - l, i - Min[k, l]]/2^(k - l) a = Table[Table[f[i, 0, l], {l, 0, i}], {i, 0, 10}] Flatten[a]

CROSSREFS

Sequence in context: A211910 A250406 A107094 * A230813 A177113 A281205

Adjacent sequences:  A122493 A122494 A122495 * A122497 A122498 A122499

KEYWORD

sign,tabl

AUTHOR

Roger L. Bagula, Sep 14 2006

EXTENSIONS

Edited by N. J. A. Sloane, Oct 01 2006

STATUS

approved

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Last modified February 23 18:54 EST 2019. Contains 320438 sequences. (Running on oeis4.)