login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual appeal: Please make a donation to keep the OEIS running! Over 6000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A174692 A symmetrical triangle sequence: t(n,m)=n!*Eulerian[n + 1, m]^2 - n! + 1 0
1, 1, 1, 1, 31, 1, 1, 721, 721, 1, 1, 16201, 104521, 16201, 1, 1, 389761, 10944361, 10944361, 389761, 1, 1, 10367281, 1021305601, 4202679601, 1021305601, 10367281, 1, 1, 307480321, 92886433921, 1229523926401, 1229523926401, 92886433921 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,5

COMMENTS

Row sums are:

{1, 2, 33, 1444, 136925, 22668246, 6266025367, 2645435681288,

1628649184821129, 1398189017071123210, 1620879822232935264011,...}.

LINKS

Table of n, a(n) for n=0..33.

FORMULA

t(n,m)=n!*Eulerian[n + 1, m]^2 - n! + 1

EXAMPLE

{1},

{1, 1},

{1, 31, 1},

{1, 721, 721, 1},

{1, 16201, 104521, 16201, 1},

{1, 389761, 10944361, 10944361, 389761, 1},

{1, 10367281, 1021305601, 4202679601, 1021305601, 10367281, 1},

{1, 307480321, 92886433921, 1229523926401, 1229523926401, 92886433921, 307480321, 1},

{1, 10160760961, 8604032492161, 313900826601601, 983619145111681, 313900826601601, 8604032492161, 10160760961, 1},

{1, 372375843841, 830510972565121, 75188647770445441, 623074977416707201, 623074977416707201, 75188647770445441, 830510972565121, 372375843841, 1},

{1, 15042446496001, 84543977513318401, 17619128067859718401, 344122240288359456001, 897227967480577286401, 344122240288359456001, 17619128067859718401, 84543977513318401, 15042446496001, 1}

MATHEMATICA

<< DiscreteMath`Combinatorica`

t[n_, m_] = n!*Eulerian[n + 1, m]^2 - n! + 1;

Table[Table[t[n, m], {m, 0, n}], {n, 0, 10}];

Flatten[%]

CROSSREFS

Sequence in context: A040962 A040961 A239633 * A172302 A103474 A047687

Adjacent sequences:  A174689 A174690 A174691 * A174693 A174694 A174695

KEYWORD

nonn,tabl,uned

AUTHOR

Roger L. Bagula, Mar 27 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 | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified December 13 00:17 EST 2017. Contains 295954 sequences.