|
Search: id:A014148
|
|
|
| A014148 |
|
Apply partial sum operator twice to sequence of primes. |
|
+0
3
|
|
| 2, 7, 17, 34, 62, 103, 161, 238, 338, 467, 627, 824, 1062, 1343, 1671, 2052, 2492, 2993, 3561, 4200, 4912, 5703, 6577, 7540, 8600, 9761, 11025, 12396, 13876, 15469, 17189, 19040, 21028, 23155, 25431, 27858, 30442, 33189, 36103, 39190, 42456, 45903
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Numbers n such that a(n) is prime are listed in A122381[n] = {1, 2, 3, 6, 10, 23, 31, 46, 55, 58, 66, 70, 82, 91, 118, 131, 151, 163, 182, 187, 198, 199, ...}. Corresponding primes a(n) = a( A122381[n] ) = A122382[n] = {2, 7, 17, 103, 467, 6577, 17189, 61627, 109919, 130531, 198109, 239579, 399557, 559313, ...}. - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 30 2006
|
|
LINKS
|
Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 30 2006, Table of n, a(n) for n = 1..100
|
|
FORMULA
|
a(n) = Sum[ Sum[ Prime[k], {k,1,m} ], {m,1,n}].
Convolution of the primes with the positive integers: Sum[ (n-k+1)*Prime[k], {k,1,n} ]. - David J. Scambler (dscambler(AT)bmm.com), Oct 08 2006
|
|
MATHEMATICA
|
Table[Sum[Sum[Prime[k], {k, 1, m}], {m, 1, n}], {n, 1, 100}] - Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 30 2006
|
|
CROSSREFS
|
Cf. A000040, A122381, A122382.
Adjacent sequences: A014145 A014146 A014147 this_sequence A014149 A014150 A014151
Sequence in context: A086513 A083723 A045947 this_sequence A070070 A033937 A116576
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
njas
|
|
EXTENSIONS
|
More terms from Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 30 2006
|
|
|
Search completed in 0.002 seconds
|
