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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A257624 Triangle read by rows: T(n,k) = t(n-k, k); t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 3*x + 5. 7
1, 5, 5, 25, 80, 25, 125, 915, 915, 125, 625, 9070, 20130, 9070, 625, 3125, 83185, 348410, 348410, 83185, 3125, 15625, 727980, 5246655, 9755480, 5246655, 727980, 15625, 78125, 6183215, 72272805, 225769855, 225769855, 72272805, 6183215, 78125 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Row sums are: 1, 10, 130, 2080, 39520, 869440, 21736000, 608608000, 18866848000, 641472832000, ... (see A051607).

LINKS

Table of n, a(n) for n=0..35.

FORMULA

T(n,k) = t(n-k, k); t(0,0) = 1, t(n,m) = 0 if n < 0 or m < 0, else t(n,m) = f(m)*t(n-1,m) + f(n)*t(n,m-1), where f(x) = 3*x + 5.

EXAMPLE

1

5 5

25 80 25

125 915 915 125

625 9070 20130 9070 625

3125 83185 348410 348410 83185 3125

15625 727980 5246655 9755480 5246655 727980 15625

78125 6183215 72272805 225769855 225769855 72272805 6183215 78125

CROSSREFS

Cf. A142458, A257610, A257620, A257622, A257626.

Cf. A257607, A257615.

Similar sequences listed in A256890.

Sequence in context: A223263 A189318 A257615 * A176160 A222281 A214706

Adjacent sequences:  A257621 A257622 A257623 * A257625 A257626 A257627

KEYWORD

nonn,tabl

AUTHOR

Dale Gerdemann, May 10 2015

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.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 4 05:15 EDT 2020. Contains 333212 sequences. (Running on oeis4.)