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A161701
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(n^5 - 5*n^4 + 5*n^3 + 5*n^2 + 114*n + 120)/120.
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20
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1, 2, 3, 4, 6, 12, 28, 64, 135, 262, 473, 804, 1300, 2016, 3018, 4384, 6205, 8586, 11647, 15524, 20370, 26356, 33672, 42528, 53155, 65806, 80757, 98308, 118784, 142536, 169942, 201408, 237369, 278290, 324667, 377028, 435934, 501980, 575796, 658048
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| {a(k): 0 <= k < 6} = divisors of 12:
a(n) = A027750(A006218(11) + k + 1), 0 <= k < A000005(12).
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LINKS
| Vincenzo Librandi, Table of n, a(n) for n = 0..10000
R. Zumkeller, Enumerations of Divisors
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FORMULA
| a(n) = C(n,0) + C(n,1) + C(n,4) + C(n,5).
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EXAMPLE
| Differences of divisors of 12 to compute the coefficients of their interpolating polynomial, see formula:
1 ... 2 ... 3 ... 4 ... 6 ... 12
.. 1 ... 1 ... 1 ... 2 ... 6
..... 0 ... 0 ... 1 ... 4
........ 0 ... 1 ... 3
........... 1 ... 2
.............. 1.
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PROG
| (MAGMA)[(n^5 - 5*n^4 + 5*n^3 + 5*n^2 + 114*n + 120)/120: n in [0..50]]; [From Vincenzo Librandi, Dec 27 2010]
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CROSSREFS
| A005408, A000124, A016813, A086514, A000125, A058331, A002522, A161702, A161703, A000127, A161704, A161706, A161707, A161708, A161710, A080856, A161711, A161712, A161713, A161715, A006261.
Sequence in context: A102462 A018369 A078495 * A038504 A018405 A018419
Adjacent sequences: A161698 A161699 A161700 * A161702 A161703 A161704
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KEYWORD
| nonn,easy
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 17 2009
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