A163285 - OEIS

A163285

Triangle read by rows in which row n lists n+1 terms, starting with n^5 and ending with n^6, such that the difference between successive terms is equal to n^5 - n^4.

0, 1, 1, 32, 48, 64, 243, 405, 567, 729, 1024, 1792, 2560, 3328, 4096, 3125, 5625, 8125, 10625, 13125, 15625, 7776, 14256, 20736, 27216, 33696, 40176, 46656, 16807, 31213, 45619, 60025, 74431, 88837, 103243, 117649, 32768, 61440, 90112, 118784, 147456, 176128, 204800, 233472, 262144

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

0,4

COMMENTS

The first term of row n is A000584(n) and the last term of row n is A001014(n).

The main entry for this sequence is A159797. See also A163282, A163283 and A163284.

Row sums give A163275. - Omar E. Pol, Mar 18 2012

LINKS

G. C. Greubel, Table of n, a(n) for the first 50 rows, flattened

EXAMPLE

Triangle begins:

1, 1;

32, 48, 64;

243, 405, 567, 729;

1024, 1792, 2560, 3328, 4096;

3125, 5625, 8125, 10625, 13125, 15625;

7776, 14256, 20736, 27216, 33696, 40176, 46656;

16807, 31213, 45619, 60025, 74431, 88837, 103243, 117649;

32768, 61440, 90112, 118784, 147456, 176128, 204800, 233472, 262144;

MATHEMATICA

rw[n_]:=Range[n^5, n^6, n^5-n^4]; Join[{0, 1}, Flatten[Array[rw, 10]]] (* Harvey P. Dale, Mar 18 2012 *)

PROG

(PARI) A163285(n, k)=n^5 +k*(n^5 -n^4) \\ G. C. Greubel, Dec 17 2016

CROSSREFS

Cf. A000584, A001014, A085538, A159797, A162611, A162614, A162622, A163282, A163283, A163284.

Sequence in context: A046304 A114447 A090052 * A036329 A014614 A046371

Adjacent sequences: A163282 A163283 A163284 * A163286 A163287 A163288

KEYWORD

easy,nonn,tabl

AUTHOR

Omar E. Pol, Jul 24 2009

STATUS

approved