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A008044
Coordination sequence T2 for Zeolite Code ATV.
1
1, 4, 12, 25, 42, 61, 88, 122, 160, 200, 246, 299, 358, 417, 480, 550, 628, 710, 796, 887, 984, 1083, 1188, 1298, 1412, 1530, 1656, 1789, 1926, 2063, 2206, 2356, 2512, 2670, 2832, 3001, 3178, 3357, 3540, 3728, 3922, 4120, 4324, 4533, 4746, 4961, 5184, 5414
OFFSET
0,2
REFERENCES
W. M. Meier, D. H. Olson and Ch. Baerlocher, Atlas of Zeolite Structure Types, 4th Ed., Elsevier, 1996
FORMULA
a(40*m+k) = 3920*m^2 + 196*k*m + one of 40 numbers depending on k, 0<=k<40. - N. J. A. Sloane
G.f.: (1 + 2*x + 6*x^2 + 7*x^3 + 10*x^4 + 9*x^5 + 18*x^6 + 16*x^7 + 21*x^8 + 16*x^9 + 21*x^10 + 16*x^11 + 18*x^12 + 9*x^13 + 10*x^14 + 7*x^15 + 6*x^16 + 2*x^17 + x^18) / ((1-x)^3 * (1+x) * (1+x^2) * (1 - x + x^2 - x^3 + x^4) * (1 + x^4) * (1 + x + x^2 + x^3 + x^4)). - Colin Barker, Dec 20 2015
G.f.: (1 + 3*x + 8*x^2 + 13*x^3 + 17*x^4 + 19*x^5 + 27*x^6 + 34*x^7 + 37*x^8 + 37*x^9 + 37*x^10 + 37*x^11 + 34*x^12 + 27*x^13 + 19*x^14 + 17*x^15 + 13*x^16 + 8*x^17 + 3*x^18 + x^19) / (1-x) / (1-x^8) / (1-x^10). - Sean A. Irvine, Mar 13 2018
CROSSREFS
Sequence in context: A008073 A301049 A008097 * A008212 A008080 A008157
KEYWORD
nonn,easy
STATUS
approved