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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
89, 504, 1490, 3525, 7617, 15808, 32192, 64960, 130496, 261568, 523712, 1048000, 2096576, 4193728, 8388032, 16776640, 33553856, 67108288, 134217152, 268434880, 536870336, 1073741248, 2147483072, 4294966720, 8589934016, 17179868608, 34359737792, 68719476160, 137438952896 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..29.

FORMULA

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]

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

CROSSREFS

Sequence in context: A279366 A142904 A172523 * A141866 A176634 A224740

Adjacent sequences:  A159744 A159745 A159746 * A159748 A159749 A159750

KEYWORD

nonn,easy

AUTHOR

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

EXTENSIONS

a(8) and beyond by R. J. Mathar, Feb 04 2021

STATUS

approved

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Last modified May 10 05:10 EDT 2021. Contains 343748 sequences. (Running on oeis4.)