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

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 56th year, we are closing in on 350,000 sequences, and we’ve crossed 9,700 citations (which often say “discovered thanks to the OEIS”).

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A152970 A vector sequence with set row sum function: row(n)=(n+1)! and linear build up and decline function: f(n,m)=Floor[(m/n)*row(n)]. 0
 1, 1, 1, 1, 4, 1, 1, 11, 11, 1, 1, 15, 88, 15, 1, 1, 72, 287, 287, 72, 1, 1, 420, 840, 2518, 840, 420, 1, 1, 2880, 5760, 11519, 11519, 5760, 2880, 1, 1, 22680, 45360, 68040, 90718, 68040, 45360, 22680, 1, 1, 201600, 403200, 604800, 604799, 604799, 604800 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 0,5 COMMENTS row sums (n+1)!: {1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800,...} LINKS FORMULA row(n)=(n+1)!: f(n,m)=Floor[(m/n)*row(n)]. EXAMPLE {1}, {1, 1}, {1, 4, 1}, {1, 11, 11, 1}, {1, 15, 88, 15, 1}, {1, 72, 287, 287, 72, 1}, {1, 420, 840, 2518, 840, 420, 1}, {1, 2880, 5760, 11519, 11519, 5760, 2880, 1}, {1, 22680, 45360, 68040, 90718, 68040, 45360, 22680, 1}, {1, 201600, 403200, 604800, 604799, 604799, 604800, 403200, 201600, 1}, {1, 1995840, 3991680, 5987520, 7983360, -2, 7983360, 5987520, 3991680, 1995840, 1} MATHEMATICA Clear[v, n, row, f]; row[n_] = (n+1); f[n_, m_] = Floor[(m/n)*row[n]/2]; v[0] = {1}; v[1] = {1, 1}; v[n_] := v[n] = If[Mod[n, 2] == 0, Join[{1}, Table[ f[n, m], {m, 1, Floor[ n/2] - 1}], {row[n] - 2*Sum[ f[n, m], {m, 1, Floor[n/2] - 1}] - 2}, Table[ f[n, m], {m, Floor[n/ 2] - 1, 1, -1}], { 1}], Join[{1}, Table[ f[n, m], {m, 1, Floor[n/2] - 1}], {row[n]/2 - Sum[ f[n, m], { m, 1, Floor[n/2] - 1}] - 1, row[n]/ 2 - Sum[ f[n, m], {m, 1, Floor[ n/2] - 1}] - 1}, Table[ f[n, m], {m, Floor[n/ 2] - 1, 1, -1}], {1}]]; Table[v[n], {n, 0, 10}]; Flatten[%] CROSSREFS Sequence in context: A152938 A154096 A146898 * A154986 A154983 A324916 Adjacent sequences:  A152967 A152968 A152969 * A152971 A152972 A152973 KEYWORD nonn,tabl,uned AUTHOR Roger L. Bagula, Dec 16 2008 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 December 9 03:23 EST 2021. Contains 349625 sequences. (Running on oeis4.)