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A074453
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Sum of determinants of 2nd order principal minors of powers of inverse of Tetramatrix ((1,1,0,0),(1,0,1,0),(1,0,0,1),(1,0,0,0)).
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0
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6, 1, -3, 1, 17, 16, -15, -13, 81, 127, -58, -175, 329, 885, -31, -1424, 833, 5543, 2181, -9233, -2298, 31025, 27893, -49495, -54879, 150416, 245697, -204965, -526887, 570895, 1801670, -407711, -3882303, 946397, 11542929, 3442672, -24121039, -10317745, 64959629, 56727711, -127083514
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| a(n) is the reflected (A074058) sequence of sequence A074193.
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FORMULA
| a(n)=a(n-1)-2a(n-2)+2a(n-3)+2a(n-4)+a(n-5)+a(n-6), a(0)=6, a(1)=1, a(2)=-3, a(3)=1, a(4)=17, a(5)=16. G.f.: (6-5x+8x^2-6x^3-4x^4-x^5)/(1-x+2x^2-2x^3-2x^4-x^5-x^6).
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MATHEMATICA
| CoefficientList[Series[(6-5*x+8*x^2-6*x^3-4*x^4-x^5)/(1-x+2*x^2-2*x^3-2*x^4-x^5-x^6), {x, 0, 40}], x]
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CROSSREFS
| Cf. A073817, A073937, A074058, A074081, A074193.
Sequence in context: A152935 A102419 A074193 * A069608 A181166 A086316
Adjacent sequences: A074450 A074451 A074452 * A074454 A074455 A074456
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KEYWORD
| easy,sign
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AUTHOR
| Mario Catalani (mario.catalani(AT)unito.it), Aug 22 2002
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