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

 

Logo

Please make a donation to keep the OEIS running. We are now in our 55th year. In the past year we added 12000 new sequences and reached 8000 citations (which often say "discovered thanks to the OEIS"). We need to raise money to hire someone to manage submissions, which would reduce the load on our editors and speed up editing.
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A256560 Triangle read by rows, sums of 2 distinct nonzero squares plus sums of 2 distinct nonzero cubes: T(n,k) = n^2 + k^2 + n^3 + k^3, 1 <= k <= n-1. 0
14, 38, 48, 82, 92, 116, 152, 162, 186, 230, 254, 264, 288, 332, 402, 394, 404, 428, 472, 542, 644, 578, 588, 612, 656, 726, 828, 968, 812, 822, 846, 890, 960, 1062, 1202, 1386, 1102, 1112, 1136, 1180, 1250, 1352, 1492, 1676, 1910 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

2,1

COMMENTS

All terms are even.

T(n,1) = A011379(n) + 2.

When n=k+1, T(n,k+1) = A011379(n-1) + A011379(n) = 2n^3 - n^2 + n.

LINKS

Table of n, a(n) for n=2..46.

FORMULA

a(n) = A055096(n) + A256497(n-1).

T(n,k) = T055096(n,k) + T256547(n-1,k).

T(n,k) = T(n-1,k) + A049450(n).

T(n,k) = T(n,k-1) + A049450(k).

T(n,k) = A011379(n) + A011379(k).

EXAMPLE

Triangle starts T(2,1):

n\k   1    2    3    4    5    6    7     8    9   10

2:   14

3:   38   48

4:   82   92   116

5:   152  162  186  230

6:   254  264  288  332  402

7:   394  404  428  472  542  644

8:   578  588  612  656  726  828  968

9:   812  822  846  890  960  1062 1202 1386

10:  1102 1112 1136 1180 1250 1352 1492 1676 1910

11:  1454 1464 1488 1532 1602 1704 1844 2028 2262 2552

...

The successive terms are: (2^2 + 1^2 + 2^3 + 1^3), (3^2 + 1^2 + 3^3 + 1^3), (3^2 + 2^2 + 3^3 + 2^3), (4^2 + 1^2 + 4^3 + 1^3), (4^2 + 2^2 + 4^3 + 2^3), (4^2 + 3^2 + 4^3 + 3^3), ...

T(7,4) = 472 because 7^2 + 7^3 + 4^2 + 4^3 = 472.

CROSSREFS

Cf. A055096 (sums of 2 distinct nonzero squares), A256497 (sums of 2 distinct nonzero cubes), A011379, A024670, A004431, A049450.

Sequence in context: A034181 A216766 A057439 * A058826 A142241 A186121

Adjacent sequences:  A256557 A256558 A256559 * A256561 A256562 A256563

KEYWORD

nonn,tabl

AUTHOR

Bob Selcoe, Apr 02 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 December 10 14:27 EST 2019. Contains 329896 sequences. (Running on oeis4.)