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A159747 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 10. See A159741 for details. 1

%I #12 Feb 04 2021 10:57:18

%S 89,504,1490,3525,7617,15808,32192,64960,130496,261568,523712,1048000,

%T 2096576,4193728,8388032,16776640,33553856,67108288,134217152,

%U 268434880,536870336,1073741248,2147483072,4294966720,8589934016,17179868608,34359737792,68719476160,137438952896

%N 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 10. See A159741 for details.

%F Interpolate a(n)=(-2*n^4+22*n^3-107.5*n^2+276.5*n+1245)/3 offset 0 & b(n)=(2*n^4-18*n^3+77.5*n^2-184.5*n+1713)/3 offset 0. Add a leading 89. Binomially transform. [From Al Hakanson (hawkuu(AT)gmail.com), Jun 08 2009]

%F a(n) = T(n+9,n+1) with T defined in A159741. a(n) = 2^(n+8)-576 for n>=6. - _R. J. Mathar_, Feb 04 2021

%K nonn,easy

%O 1,1

%A Al Hakanson (hawkuu(AT)gmail.com), Apr 20 2009

%E a(8) and beyond by _R. J. Mathar_, Feb 04 2021

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)