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A008043
Coordination sequence T1 for Zeolite Code ATV.
1
1, 4, 11, 22, 40, 64, 92, 121, 157, 200, 248, 297, 351, 414, 484, 555, 630, 709, 795, 885, 980, 1081, 1187, 1297, 1414, 1535, 1660, 1786, 1919, 2061, 2208, 2356, 2509, 2669, 2836, 3004, 3176, 3354, 3539, 3728, 3922, 4120, 4323, 4530, 4744, 4964, 5188, 5413
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 + 5*x^2 + 6*x^3 + 12*x^4 + 12*x^5 + 16*x^6 + 13*x^7 + 22*x^8 + 18*x^9 + 22*x^10 + 13*x^11 + 16*x^12 + 12*x^13 + 12*x^14 + 6*x^15 + 5*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 18 2015
G.f.: (1 + 3*x + 7*x^2 + 11*x^3 + 18*x^4 + 24*x^5 + 28*x^6 + 29*x^7 + 35*x^8 + 40*x^9 + 40*x^10 + 35*x^11 + 29*x^12 + 28*x^13 + 24*x^14 + 18*x^15 + 11*x^16 + 7*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: A047951 A132072 A009846 * A088003 A049836 A177853
KEYWORD
nonn,easy
STATUS
approved