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A060375 (n+2)^(n+3) - n^(n+1). +0
1
8, 80, 1016, 15544, 278912, 5749176, 133937792, 3481019600, 99865782272, 3134941592320, 106893205379072, 3934237957322568, 155461102352433152, 6564470979327191336, 294992337083795013632, 14056516043712012100384 (list; graph; listen)
OFFSET

0,1

COMMENT

a(n) is divisible by 8. 2^(3+4k) divides a(4k) and a(4k+2). 8k divides a(4k-1). 4(4k+2) divides a(4k+1). - Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 18 2006

LINKS

Harry J. Smith, Table of n, a(n) for n=0,...,100

FORMULA

a(n) = A007778(n+2) - A007778(n). - Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 18 2006

EXAMPLE

a(1)=|0^1-2^3|=8, a(2)=|1^2-3^4|=80.

MATHEMATICA

Table[(-n^(n+1)+(n+2)^(n+3)), {n, 0, 18}] - Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 18 2006

PROGRAM

(PARI) { for (n=0, 100, write("b060375.txt", n, " ", (n + 2)^(n + 3) - n^(n + 1)); ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Jul 04 2009]

CROSSREFS

Cf. A007778 = n^(n+1).

Sequence in context: A102592 A053175 A051580 this_sequence A097815 A002718 A057707

Adjacent sequences: A060372 A060373 A060374 this_sequence A060376 A060377 A060378

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Apr 02 2001

EXTENSIONS

More terms from Larry Reeves (larryr(AT)acm.org), Apr 20 2001

Better description from Alexander Adamchuk (alex(AT)kolmogorov.com), Nov 18 2006

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Last modified December 7 08:40 EST 2009. Contains 170430 sequences.


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