The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A176794 A symmetrical triangle sequence:q=3;f(n,m,q)=Sum[q^((k - 1)/2)*Binomial[n, m], {m, 1, n, 2}];t(n,m,q)=1 - (f(n, k, q) + f(n, 2*n - k, q) - (f(n, 1, q) + f(n, 2*n - 1, q))) 0
 1, 1, 1, 1, 17, 1, 1, 129, 129, 1, 1, 833, 1025, 833, 1, 1, 5121, 6657, 6657, 5121, 1, 1, 30977, 40961, 43265, 40961, 30977, 1, 1, 186369, 247809, 266241, 266241, 247809, 186369, 1, 1, 1119233, 1490945, 1610753, 1638401, 1610753, 1490945, 1119233, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS Row sums are: {1, 2, 19, 260, 2693, 23558, 187143, 1400840, 10080265, 70549514,...}. LINKS FORMULA q=3; f(n,m,q)=Sum[q^((k - 1)/2)*Binomial[n, m], {m, 1, n, 2}]; t(n,m,q)=1 - (f(n, k, q) + f(n, 2*n - k, q) - (f(n, 1, q) + f(n, 2*n - 1, q))) EXAMPLE {1}, {1, 1}, {1, 17, 1}, {1, 129, 129, 1}, {1, 833, 1025, 833, 1}, {1, 5121, 6657, 6657, 5121, 1}, {1, 30977, 40961, 43265, 40961, 30977, 1}, {1, 186369, 247809, 266241, 266241, 247809, 186369, 1}, {1, 1119233, 1490945, 1610753, 1638401, 1610753, 1490945, 1119233, 1}, {1, 6717441, 8953857, 9691137, 9912321, 9912321, 9691137, 8953857, 6717441, 1} MATHEMATICA f[n_, k_, q_] := Sum[q^((k - 1)/2)*Binomial[n, m], {m, 1, n, 2}]; t[n_, k_, q_] := 1 - (f[n, k, q] + f[n, 2*n - k, q] - (f[n, 1, q] + f[n, 2* n - 1, q])); Table[Flatten[Table[Table[t[ n, k, q], {k, 1, 2*n, 2}], {n, 1, 10}]], {q, 2, 10}] CROSSREFS Sequence in context: A218115 A144442 A157151 * A176244 A022180 A156581 Adjacent sequences:  A176791 A176792 A176793 * A176795 A176796 A176797 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Apr 26 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified September 28 16:40 EDT 2020. Contains 337393 sequences. (Running on oeis4.)