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A059872 Solutions to the equation given in A059871, encoded as binary vectors and converted to decimal. 3
1, 3, 5, 13, 21, 46, 51, 52, 78, 83, 84, 175, 181, 205, 210, 303, 309, 333, 338, 390, 392, 639, 698, 726, 728, 737, 822, 824, 846, 851, 852, 903, 905, 1143, 1145, 1197, 1202, 1226, 1232, 1311, 1322, 1328, 1350, 1352, 1409, 1562, 1571, 1572, 1601, 2539, 2540 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

The rows of this table have lengths given by A059871[n]: 1;3;5;13;21;46,51,52;78,83,84;175,181,205,210; etc...

In binary encodings, the least significant bit (bit-0) stands for the factor of 1, the next bit (bit-1) stands for the factor of 2, bit-2 for the factor of 3, bit-3 for the factor of 5, etc., each bit being 0 if the corresponding factor is -1 and 1 if it is +1 (or +2 if the bit is the most significant bit of the code of odd length).

E.g. we have 2 = 2*1 -> 1 in binary, 3 = 1*2 + 1*1 -> 11 in binary, 5 = 2*3 - 1*2 + 1*1 -> 101 in binary, 7 = 1*5 + 1*3 - 1*2 + 1*1 -> 1101 in binary, 11 = 2*7 - 1*5 + 1*3 - 1*2 + 1*1 -> 10101 in binary. Function bin_prime_sum given in A059876 maps such encodings back to primes.

LINKS

Table of n, a(n) for n=1..51.

MAPLE

map(op, primesums_primes_mult(16)); # primesums_primes_mult given in A059871.

CROSSREFS

Cf. A059873, A059874, A059875.

Sequence in context: A172143 A218790 A168388 * A059873 A239314 A059874

Adjacent sequences:  A059869 A059870 A059871 * A059873 A059874 A059875

KEYWORD

nonn,tabf,base

AUTHOR

Antti Karttunen, Feb 05 2001

STATUS

approved

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Last modified December 18 23:46 EST 2018. Contains 318245 sequences. (Running on oeis4.)