A208615 -id:A208615 - cp's OEIS frontend

A208622 Number of Young tableaux with 9 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

1, 1, 24310, 499208817, 180929760551225, 220232478504498403075, 583831478578178958083979415, 2760236523281606433215665762615849, 20535579472799243918667089350306950940643, 220381419513554767061883905294847700173775763891

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (9*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (9,9,...,9) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.

Row n=9 of A208615.

A208623 Number of Young tableaux with 10 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 92378, 9134237407, 23086562828397479, 233018419345522155335125, 5839732221336989894541552143065, 289238439981484950348089838682686986479, 24486860959943276912563736137263132718929372619, 3201253130570381677843084208123022632287481960289725603

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (10*n-1)-step walks on n-dimensional cubic lattice from (1,0,...,0) to (10,10,...,10) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_n) we have p_1<=p_2<=...<=p_n or p_1>=p_2>=...>=p_n.

Row n=10 of A208615.

A208625 Number of Young tableaux with n 5-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 43, 6091, 1676707, 705002611, 398084427253, 279481714446151, 232075055225078521, 220232478504498403075, 233018419345522155335125, 269885243445946300409146375, 337402154959503679430701458829, 450322016526620687787013813440439

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (5*n-1)-step walks on 5-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_5) we have p_1<=p_2<=...<=p_5 or p_1>=p_2>=...>=p_5.

Column k=5 of A208615.

A208626 Number of Young tableaux with n 6-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 133, 87781, 140422657, 396803649991, 1672481205752413, 9493821912766657291, 67887185669916054862201, 583831478578178958083979415, 5839732221336989894541552143065, 66255973840780250383847420304675775, 836422943559727759153797800333684916889

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (6*n-1)-step walks on 6-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_6) we have p_1<=p_2<=...<=p_6 or p_1>=p_2>=...>=p_6.

Column k=6 of A208615.

A208627 Number of Young tableaux with n 7-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 430, 1386529, 13675362559, 278635710716650, 9490918987253894191, 475092942773985252468181, 32104063492616280061833179530, 2760236523281606433215665762615849, 289238439981484950348089838682686986479, 35765166865735043765208026468482106363863090

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (7*n-1)-step walks on 7-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_7) we have p_1<=p_2<=...<=p_7 or p_1>=p_2>=...>=p_7.

Column k=7 of A208615.

A208628 Number of Young tableaux with n 8-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 1431, 23374495, 1489926719139, 231474950997766763, 67868136936393109678363, 32103240681864904236146331299, 22081439406257212482754663652213531, 20535579472799243918667089350306950940643, 24486860959943276912563736137263132718929372619

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (8*n-1)-step walks on 8-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_8) we have p_1<=p_2<=...<=p_8 or p_1>=p_2>=...>=p_8.

Column k=8 of A208615.

A208629 Number of Young tableaux with n 9-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 4863, 414325055, 177296325559211, 219738417947792525211, 583693245266271046705306483, 2760173043757661872972723537937635, 20535540740510211632088991774438342144131, 220381419513554767061883905294847700173775763891

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (9*n-1)-step walks on 9-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_9) we have p_1<=p_2<=...<=p_9 or p_1>=p_2>=...>=p_9.

Column k=9 of A208615.

A208630 Number of Young tableaux with n 10-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

Original entry on oeis.org

1, 1, 16797, 7646034683, 22661600612752505, 232553597317851557785623, 5838544884938502473966453328313, 289232902027154515366683463668541370431, 24486820402563168156475227361324722817780058649, 3201252738588789444808668395737343564339694511133453855

Offset: 0

Alois P. Heinz, Feb 29 2012

Also the number of (10*n-1)-step walks on 10-dimensional cubic lattice from (1,0,...,0) to (n,n,...,n) with positive unit steps in all dimensions such that for each point (p_1,p_2,...,p_10) we have p_1<=p_2<=...<=p_10 or p_1>=p_2>=...>=p_10.

Column k=10 of A208615.

cp's OEIS Frontend

A208622 Number of Young tableaux with 9 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208623 Number of Young tableaux with 10 n-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208625 Number of Young tableaux with n 5-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208626 Number of Young tableaux with n 6-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208627 Number of Young tableaux with n 7-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208628 Number of Young tableaux with n 8-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208629 Number of Young tableaux with n 9-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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A208630 Number of Young tableaux with n 10-length rows, increasing entries down the columns and monotonic entries along the rows (first row increasing).

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