New transforms - PS

N. J. A. Sloane njas at
Mon Jan 3 05:45:22 CET 2000

Correction:  there was an error in that message in the second section.
Here is a corrected version.

2. Take the sum of 2 or more consecutive terms of a sequence. For example
the primes (A000040) give another new arrival:

%I A050936
%S A050936 5,8,10,12,15,17,18
%N A050936 Sum of two or more consecutive prime numbers.
%Y A050936 Cf. A000040.
%O A050936 1,1
%K A050936 more,nonn,easy
%A A050936 G. L. Honaker, Jr. (sci-tchr at, Dec 31 1999

One may also simply take the sum of /any/ number of comsecutive terms.
Then the primes give A034707 and its complement A050940.

Similarly the Fibonacci numbers (A000045) lead to A007298
and its complement A050939:
%S A050939 9,14,15,17,22,23,24,25,27,28,30,35,36,37,38,39,40,41,43,44,45,
%T A050939 46,48,49,51,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,
%U A050939 74,75,77,78,79,80,82,83,85,90,91,92,93,94,95,96,97,98,99,100,101
%N A050939 Not the sum of consecutive Fibonacci numbers.


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