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 A159748 If an array is made of columns of -nacci sequences, fibo-, tribo- etc. all starting w. 1,1,2 etc, the NW to SE diagonals can be extended by computation. The above is diagonal 11. See A159741 for details. 2
 144, 927, 2872, 6930, 15109, 31489, 64256, 129792, 260864, 523008, 1047296, 2095872, 4193024, 8387328, 16775936, 33553152, 67107584, 134216448, 268434176, 536869632, 1073740544, 2147482368, 4294966016, 8589933312, 17179867904 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA a(n) = 3*a(n-1) - 2*a(n-2), n > 8. - R. J. Mathar, Apr 22 2009 Interpolate a(n) = (4*n^5 - 60*n^4 + 415*n^3 - 1665*n^2 + 3826*n + 11745)/15 offset 0 and b(n) = -4*n^5 + 50*n^4 - 305*n^3 + 1127.5*n^2 - 2443.5 + 17430)/15 offset 0. Add the leading 144. Binomially transform. - Al Hakanson (hawkuu(AT)gmail.com), Jun 08 2009 MAPLE T := proc(n, m) option remember ; if n < 0 then 0; elif n <= 1 then 1; elif n = 2 then 2; else add(procname(n-i, m), i=1..m) ; fi: end: A159748 := proc(n) T(n+10, n+1) ; end: seq(A159748(n), n=1..40) ; # R. J. Mathar, Apr 22 2009 CROSSREFS Cf. A159741 . Sequence in context: A223235 A187301 A120089 * A235957 A162669 A230796 Adjacent sequences:  A159745 A159746 A159747 * A159749 A159750 A159751 KEYWORD nonn AUTHOR Al Hakanson (hawkuu(AT)gmail.com), Apr 20 2009 EXTENSIONS More terms from R. J. Mathar, Apr 22 2009 STATUS approved

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Last modified May 6 01:03 EDT 2021. Contains 343579 sequences. (Running on oeis4.)