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 A135936 Irregular triangle read by rows: row n gives coefficients of Boubaker polynomial B_n(x) in order of decreasing exponents (another version). 4
 1, 1, 1, 2, 1, 1, 1, 0, -2, 1, -1, -3, 1, -2, -3, 2, 1, -3, -2, 5, 1, -4, 0, 8, -2, 1, -5, 3, 10, -7, 1, -6, 7, 10, -15, 2, 1, -7, 12, 7, -25, 9, 1, -8, 18, 0, -35, 24, -2, 1, -9, 25, -12, -42, 49, -11, 1, -10, 33, -30, -42, 84, -35, 2, 1, -11, 42, -55, -30, 126, -84, 13, 1, -12, 52, -88, 0, 168, -168, 48, -2, 1, -13, 63, -130, 55, 198, -294 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS See A135929 and A138034 for further information. LINKS R. J. Mathar, Mar 11 2008, Table of n, a(n) for n = 0..160 FORMULA Conjectures from Thomas Baruchel, Jun 03 2018: (Start) T(n,m) = 4*A115139(n+1,m) - 3*A132460(n,m). T(n,m) = (-1)^m * (binomial(n-m, m) - 3*binomial(n-m-1, m-1)). (End) EXAMPLE The Boubaker polynomials B_0(x), B_1(x), B_2(x), ... are:   1   x   x^2    + 2   x^3    + x   x^4             - 2   x^5    - x^3  - 3*x   x^6  - 2*x^4  - 3*x^2    + 2   x^7  - 3*x^5  - 2*x^3  + 5*x   x^8  - 4*x^6           + 8*x^2    - 2   x^9  - 5*x^7  + 3*x^5 + 10*x^3  - 7*x   ... MAPLE A135936 := proc(n, m) coeftayl( coeftayl( (1+3*t^2)/(1-x*t+t^2), t=0, n), x=0, m) ; end: for n from 0 to 25 do for m from n to 0 by -2 do printf("%d, ", A135936(n, m)) ; od; od; # R. J. Mathar, Mar 11 2008 CROSSREFS Cf. A138034. Sequence in context: A117162 A277045 A146061 * A109707 A214578 A064272 Adjacent sequences:  A135933 A135934 A135935 * A135937 A135938 A135939 KEYWORD sign,tabf AUTHOR N. J. A. Sloane, Mar 09 2008 EXTENSIONS More terms from R. J. Mathar, Mar 11 2008 STATUS approved

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Last modified September 17 08:54 EDT 2019. Contains 327127 sequences. (Running on oeis4.)