OFFSET
0,5
LINKS
Index entries for linear recurrences with constant coefficients, signature (1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1,-1,1).
FORMULA
From Chai Wah Wu, Nov 18 2025: (Start)
a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6) + a(n-7) - a(n-8) + a(n-9) - a(n-10) + a(n-11) - a(n-12) + a(n-13) - a(n-14) + a(n-15) - a(n-16) + a(n-17) - a(n-18) + a(n-19) - a(n-20) + a(n-21) - a(n-22) + a(n-23) - a(n-24) + a(n-25) - a(n-26) + a(n-27) - a(n-28) + a(n-29) - a(n-30) + a(n-31) - a(n-32) + a(n-33) - a(n-34) + a(n-35) - a(n-36) + a(n-37) - a(n-38) + a(n-39) - a(n-40) + a(n-41) - a(n-42) + a(n-43) - a(n-44) + a(n-45) for n > 45.
G.f.: (-5*x^45 + 2*x^44 - 4*x^43 - 2*x^42 + 2*x^41 - 4*x^40 + 2*x^39 - 6*x^38 + 4*x^37 - 11*x^36 + 7*x^35 - 16*x^34 + 11*x^33 - 17*x^32 + 12*x^31 - 14*x^30 + 5*x^29 - 7*x^28 + 3*x^27 - 6*x^26 + 5*x^25 - 7*x^24 + 4*x^23 - 12*x^22 + 3*x^21 - 3*x^20 - 4*x^19 + 2*x^18 - 3*x^17 + 2*x^16 - 11*x^15 + 11*x^14 - 17*x^13 + 9*x^12 - 12*x^11 + 5*x^10 - 11*x^9 + 4*x^8 - 4*x^7 - 9*x^4 - x^2)/((x - 1)*(x^22 - x^21 + x^20 - x^19 + x^18 - x^17 + x^16 - x^15 + x^14 - x^13 + x^12 - x^11 + x^10 - x^9 + x^8 - x^7 + x^6 - x^5 + x^4 - x^3 + x^2 - x + 1)*(x^22 + x^21 + x^20 + x^19 + x^18 + x^17 + x^16 + x^15 + x^14 + x^13 + x^12 + x^11 + x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + x^4 + x^3 + x^2 + x + 1)). (End)
MATHEMATICA
Join[{0, 0}, RealDigits[1/834, 10, 120][[1]]] (* or *) PadRight[{0}, 120, {5, 0, 1, 1, 9, 9, 0, 4, 0, 7, 6, 7, 3, 8, 6, 0, 9, 1, 1, 2, 7, 0, 9, 8, 3, 2, 1, 3, 4, 2, 9, 2, 5, 6, 5, 9, 4, 7, 2, 4, 2, 2, 0, 6, 2, 3}] (* Harvey P. Dale, Aug 01 2020 *)
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
STATUS
approved