A092794
Number of connected relations.
Original entry on oeis.org
1, 21, 265, 2733, 25441, 223461, 1895545, 15736413, 128882641, 1046542101, 8451838825, 68020609293, 546227922241, 4380272835141, 35094966838105, 281025802973373, 2249545355064241, 18003091856638581, 144058517372685385, 1152637601335180653
Offset: 1
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CoefficientList[Series[-x*(4*x + 1)/((4*x - 1)*(5*x - 1)*(8*x - 1)), {x, 0, 50}], x] (* G. C. Greubel, Oct 05 2017 *)
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x='x+O('x^50); Vec(x*(4*x+1)/((1-4*x)*(1-5*x)*(1-8*x))) \\ G. C. Greubel, Oct 05 2017
A092795
Number of connected relations.
Original entry on oeis.org
1, 67, 1993, 43891, 836521, 14764627, 249723433, 4123297651, 67157947561, 1085384064787, 17464790421673, 280328391247411, 4493290901135401, 71964955947764947, 1152089156508284713, 18439265231953981171, 295080697103288816041, 4721762414918959913107
Offset: 1
- G. C. Greubel, Table of n, a(n) for n = 1..825
- G. Kilibarda and V. Jovovic, Enumeration of some classes of T_0-hypergraphs, arXiv:1411.4187 [math.CO], 2014.
- Index entries for linear recurrences with constant coefficients, signature (43,-701,5477,-20658,30240).
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[16^n - 4*9^n - 3*7^n + 12*6^n - 6*5^n: n in [1..50]]; // G. C. Greubel, Oct 08 2017
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Table[16^n - 4*9^n - 3*7^n + 12*6^n - 6*5^n, {n, 1, 50}] (* G. C. Greubel, Oct 08 2017 *)
LinearRecurrence[{43,-701,5477,-20658,30240},{1,67,1993,43891,836521},20] (* Harvey P. Dale, May 24 2025 *)
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for(n=1,50, print1(16^n - 4*9^n - 3*7^n + 12*6^n - 6*5^n, ", ")) \\ G. C. Greubel, Oct 08 2017
A092796
Number of connected relations.
Original entry on oeis.org
1, 213, 14857, 694485, 27005881, 957263493, 32333393737, 1064686990965, 34589700409561, 1115777278022373, 35856732186282217, 1149998292486777045, 36843831022923582841, 1179748027215029366853, 37764598757179830172297, 1208682260675932309564725
Offset: 1
- G. C. Greubel, Table of n, a(n) for n = 1..660
- G. Kilibarda and V. Jovovic, Enumeration of some classes of T_0-hypergraphs, arXiv:1411.4187 [math.CO], 2014.
- Index entries for linear recurrences with constant coefficients, signature (91,-3299,62713,-682172,4276972,-14386144,20106240).
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[32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n: n in [0..50]]; // G. C. Greubel, Oct 08 2017
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Table[32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n, {n, 0, 50}] (* G. C. Greubel, Oct 08 2017 *)
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for(n=0,50, print1(32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n, ", ")) \\ G. C. Greubel, Oct 08 2017
A092797
Number of connected relations.
Original entry on oeis.org
1, 667, 108817, 10796275, 858251401, 61283936827, 4147211888737, 273109341611395, 17736960725057401, 1143745441025278987, 73483870162431314257, 4712360023676936085715, 301901195708380781658601, 19331914197940256185117147, 1237580377249840094294765377
Offset: 1
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[64^n - 6*33^n - 15*19^n + 30*18^n - 10*15^n + 120*12^n - 120*11^n + 30*10^n - 270*9^n + 360*8^n - 120*7^n: n in [0..50]]; // G. C. Greubel, Oct 08 2017
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Table[64^n - 6*33^n - 15*19^n + 30*18^n - 10*15^n + 120*12^n - 120*11^n + 30*10^n - 270*9^n + 360*8^n - 120*7^n, {n, 0, 50}] (* G. C. Greubel, Oct 08 2017 *)
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for(n=0,50, print1(64^n - 6*33^n - 15*19^n + 30*18^n - 10*15^n + 120*12^n - 120*11^n + 30*10^n - 270*9^n + 360*8^n - 120*7^n, ", ")) \\ G. C. Greubel, Oct 08 2017