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A110325
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Row sums of number triangle related to the Jacobsthal numbers.
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2
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1, 0, -5, -14, -27, -44, -65, -90, -119, -152, -189, -230, -275, -324, -377, -434, -495, -560, -629, -702, -779, -860, -945, -1034, -1127, -1224, -1325, -1430, -1539, -1652, -1769, -1890, -2015, -2144, -2277, -2414, -2555, -2700, -2849, -3002, -3159, -3320, -3485, -3654, -3827, -4004, -4185, -4370
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| Rows sums of A110324. Results from a general construction: the row sums of the inverse of the number triangle whose columns have e.g.f. (x^k/k!)/(1-a*x-b*x^2) have g.f. (1-(a+2)x-(2b-a-1)x^2)/(1-x)^3 and general term 1+(b-a)*n-b*n^2. This is the binomial transform of (1,-a,-2b,0,0,0,...).
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (3,-3,1).
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FORMULA
| G.f.: (1-3x-2x^2)/(1-x)^3; a(n)=1+n-2n^2.
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CROSSREFS
| Essentially the same sequence as A014106.
Sequence in context: A065351 A002503 A014106 * A140342 A055454 A073347
Adjacent sequences: A110322 A110323 A110324 * A110326 A110327 A110328
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KEYWORD
| easy,sign
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Jul 20 2005
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