STATUS
proposed
approved
The OEIS is supported by the many generous donors to the OEIS Foundation.
proposed
approved
editing
proposed
Trajectory of 5 under map "replace k by with concatenation of anti-divisors of k".
approved
editing
_M. F. Hasler (maximilian.hasler(AT)gmail.com), _, Jul 26 2007
nonn,base,new
Maximilian M. F. Hasler (maximilian.hasler(AT)gmail.com), Jul 26 2007
10 X 10 pentagonal prism bonding graph ( 3d analog of D5 dihedral and so(5) groups): Characteristiic polynomial: 240 x^4 + 352 x^5 + 120 x^6 - 40 x^7 - 25 x^8 + x^10.
Trajectory of 5 under map "replace k by concatenation of anti-divisors of k".
0, 12, 173, 861, 4979, 25545, 132419, 670689, 3390203, 17039337, 85505555, 428366577, 2144524907, 10730349369, 53675623811, 268448345025, 1342455212891, 6712910908041, 33566470310387, 167838076383633
5, 23, 235915, 231058199290237132541627094366157277
0,2
1,1
In the 1960's borohydrides were structurally used as analogs to nuclear internal structure models. In this case an so(5) is an analog of a pendagonal prism by way of the D5 dihedral symmetry involved.
The next term is very large!
M = {{0, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 0}} v[1] = Table[Fibonacci[n], {n, 0, 9}] v[n_] := v[n] = M.v[n - 1] a(n) = v[n][[1]]
M = {{0, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 0}} v[1] = Table[Fibonacci[n], {n, 0, 9}] v[n_] := v[n] = M.v[n - 1] a = Table[Floor[v[n][[1]]], {n, 1, 50}]
nonn,newbase
Roger Bagula Maximilian Hasler (rlbagulatftnmaximilian.hasler(AT)yahoogmail.com), Aug 10 2006Jul 26 2007
10by10 10 X 10 pentagonal prism bonding graph ( 3d analog of D5 dihedral and so(5) groups): Characteristiic polynomial: 240 x^4 + 352 x^5 + 120 x^6 - 40 x^7 - 25 x^8 + x^10.
nonn,new
nonn
Roger Bagula (rlbagularlbagulatftn(AT)sbcglobalyahoo.netcom), Aug 10 2006
10by10 pentagonal prism bonding graph ( 3d analog of D5 dihedral and so(5) groups): Characteristiic polynomial: 240 x^4 + 352 x^5 + 120 x^6 - 40 x^7 - 25 x^8 + x^10.
0, 12, 173, 861, 4979, 25545, 132419, 670689, 3390203, 17039337, 85505555, 428366577, 2144524907, 10730349369, 53675623811, 268448345025, 1342455212891, 6712910908041, 33566470310387, 167838076383633
0,2
In the 1960's borohydrides were structurally used as analogs to nuclear internal structure models. In this case an so(5) is an analog of a pendagonal prism by way of the D5 dihedral symmetry involved.
M = {{0, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 0}} v[1] = Table[Fibonacci[n], {n, 0, 9}] v[n_] := v[n] = M.v[n - 1] a(n) = v[n][[1]]
M = {{0, 1, 1, 1, 1, 1, 0, 0, 0, 0}, {1, 0, 1, 1, 1, 0, 1, 0, 0, 0}, {1, 1, 0, 1, 1, 0, 0, 1, 0, 0}, {1, 1, 1, 0, 1, 0, 0, 0, 1, 0}, {1, 1, 1, 1, 0, 0, 0, 0, 0, 1}, {1, 0, 0, 0, 0, 0, 1, 1, 1, 1}, {0, 1, 0, 0, 0, 1, 0, 1, 1, 1}, {0, 0, 1, 0, 0, 1, 1, 0, 1, 1}, {0, 0, 0, 1, 0, 1, 1, 1, 0, 1}, {0, 0, 0, 0, 1, 1, 1, 1, 1, 0}} v[1] = Table[Fibonacci[n], {n, 0, 9}] v[n_] := v[n] = M.v[n - 1] a = Table[Floor[v[n][[1]]], {n, 1, 50}]
nonn
Roger Bagula (rlbagula(AT)sbcglobal.net), Aug 10 2006
approved