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 A167594 A triangle related to the GF(z) formulas of the rows of the ED4 array A167584. 4
 1, 2, 2, 9, 2, 13, 60, -12, 68, 76, 525, -300, 774, 132, 789, 5670, -5250, 11820, -3636, 6702, 7734, 72765, -92610, 212415, -143340, 143307, 19086, 110937, 1081080, -1746360, 4286520, -4246200, 4156200, -1204200, 1305000, 1528920 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS The GF(z) formulas given below correspond to the first ten rows of the ED4 array A167584. The polynomials in their numerators lead to the triangle given above. LINKS EXAMPLE Row 1: GF(z) = 1/(1-z). Row 2: GF(z) = (2*z + 2)/(1-z)^2. Row 3: GF(z) = (9*z^2 + 2*z + 13)/(1-z)^3. Row 4: GF(z) = (60*z^3 - 12*z^2 + 68*z + 76)/(1-z)^4. Row 5: GF(z) = (525*z^4 - 300*z^3 + 774*z^2 + 132*z + 789)/(1-z)^5. Row 6: GF(z) = (5670*z^5 - 5250*z^4 + 11820*z^3 - 3636*z^2 + 6702*z + 7734)/(1-z)^6. Row 7: GF(z) = (72765*z^6 - 92610*z^5 + 212415*z^4 - 143340*z^3 + 143307*z^2 + 19086*z + 110937)/ (1-z)^7. Row 8: GF(z) = (1081080*z^7 - 1746360*z^6 + 4286520*z^5 - 4246200*z^4 + 4156200*z^3 - 1204200*z^2 + 1305000*z + 1528920)/(1-z)^8. Row 9: GF(z) = (18243225*z^8 - 35675640*z^7 + 95176620*z^6 -121723560*z^5 + 132769350*z^4 - 73816200*z^3 + 45017100*z^2 + 4887720*z + 28018665) / (1-z)^9. Row 10: GF(z) = (344594250*z^9 - 790539750*z^8 + 2299457160*z^7 - 3567314520*z^6 + 4441299660*z^5 - 3398138100*z^4 + 2160066600*z^3 - 550619640*z^2 + 421244730*z + 497895210)/(1-z)^10. CROSSREFS A167584 is the ED4 array. A001193 equals the first left hand column. A024199 equals the first right hand column. A002866 equals the row sums. Sequence in context: A037289 A037290 A155936 * A108462 A327859 A182106 Adjacent sequences:  A167591 A167592 A167593 * A167595 A167596 A167597 KEYWORD sign,tabl AUTHOR Johannes W. Meijer, Nov 10 2009 STATUS approved

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Last modified January 23 01:15 EST 2020. Contains 331166 sequences. (Running on oeis4.)