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A060375
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(n+2)^(n+3) - n^(n+1).
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1
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8, 80, 1016, 15544, 278912, 5749176, 133937792, 3481019600, 99865782272, 3134941592320, 106893205379072, 3934237957322568, 155461102352433152, 6564470979327191336, 294992337083795013632, 14056516043712012100384
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listen;
history;
text;
internal format)
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OFFSET
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0,1
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COMMENTS
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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, Nov 18 2006
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LINKS
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Harry J. Smith, Table of n, a(n) for n=0,...,100
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FORMULA
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a(n) = A007778(n+2) - A007778(n). - Alexander Adamchuk, Nov 18 2006
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EXAMPLE
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a(1)=|0^1-2^3|=8, a(2)=|1^2-3^4|=80.
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MATHEMATICA
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Table[(-n^(n+1)+(n+2)^(n+3)), {n, 0, 18}] - Alexander Adamchuk, Nov 18 2006
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PROG
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(PARI) { for (n=0, 100, write("b060375.txt", n, " ", (n + 2)^(n + 3) - n^(n + 1)); ) } [From Harry J. Smith, Jul 04 2009]
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CROSSREFS
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Cf. A007778 = n^(n+1).
Sequence in context: A102592 A053175 A051580 * A097815 A002718 A222825
Adjacent sequences: A060372 A060373 A060374 * A060376 A060377 A060378
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KEYWORD
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nonn
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AUTHOR
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Jason Earls (zevi_35711(AT)yahoo.com), Apr 02 2001
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EXTENSIONS
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More terms from Larry Reeves (larryr(AT)acm.org), Apr 20 2001
Better description from Alexander Adamchuk, Nov 18 2006
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STATUS
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approved
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