%I #14 Jan 27 2019 03:01:31
%S 1,2,4,5,10,10,13,13,16,20,25,27,28,26,31,33,44,42,47,52,48,54,52,60,
%T 64,68,64,67,68,77,108,94,102,95,106,100,103,106,105,106,115,110,127,
%U 120,131,122,143,159,149,148,156,149,151,155,165,162,167,174,175
%N The half of sum of the numbers in the n-th row of Gilbreath's triangle (A036262).
%C Gilbreath's triangle is a triangle of numbers arising from Gilbreath's conjecture: successive absolute differences of primes.
%F a(n) = A173816(n)/2.
%p A036262 := proc(n,k) option remember ; if k = n then ithprime(n) ; else abs(procname(n,k+1)-procname(n-1,k)) ; end if; end proc: A173818 := proc(n) add(A036262(n,k),k=1..n)/2 ; end proc: seq(A173818(n),n=1..90) ; # _R. J. Mathar_, Mar 01 2010
%Y Cf. A036261, A036262, A173816.
%K nonn
%O 1,2
%A _Juri-Stepan Gerasimov_, Feb 25 2010
%E a(23) and a(24) corrected and sequence extended by _R. J. Mathar_, Mar 01 2010