A173817 The half of sum of the numbers in the n-th row of Gilbreath's triangle (A036262).

1, 2, 4, 5, 10, 10, 13, 13, 16, 20, 25, 27, 28, 26, 31, 33, 44, 42, 47, 52, 48, 54, 52, 60, 64, 68, 64, 67, 68, 77, 108, 94, 102, 95, 106, 100, 103, 106, 105, 106, 115, 110, 127, 120, 131, 122, 143, 159, 149, 148, 156, 149, 151, 155, 165, 162, 167, 174, 175

Offset

1,2

Comments

Gilbreath's triangle is a triangle of numbers arising from Gilbreath's conjecture: successive absolute differences of primes.

Links

Table of n, a(n) for n=1..59.

Formula

a(n) = A173816(n)/2.

Maple

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

Crossrefs

Cf. A036261, A036262, A173816.

Sequence in context: A335315 A307805 A189767 * A198383 A334268 A220696

Adjacent sequences: A173814 A173815 A173816 * A173818 A173819 A173820

Keyword

nonn

Author

Juri-Stepan Gerasimov, Feb 25 2010

Extensions

a(23) and a(24) corrected and sequence extended by R. J. Mathar, Mar 01 2010

Status

approved