A275752 Self-convolution square root of the odd bisection of A274965.

1, 2, 8, 36, 166, 770, 3574, 16560, 76516, 352498, 1619014, 7414134, 33855996, 154181234, 700333366, 3173299648, 14345094004, 64704125888, 291235313046, 1308229210186, 5865335253474, 26248821086374, 117265700856282, 523010482541564, 2328947839518852, 10354971182171076, 45973304229373220, 203824525466826232, 902455230607927616, 3990584636812405052, 17624255201680536016

Offset: 0

Author

Paul D. Hanna, Aug 14 2016

Keywords

• nonn

Comments

The g.f. of A274965 equals G(x,1), where G(x,y) = x*y + G(x,x*y)^2 is the g.f. of A275670.

Examples

			G.f.: A(x) = 1 + 2*x + 8*x^2 + 36*x^3 + 166*x^4 + 770*x^5 + 3574*x^6 + 16560*x^7 + 76516*x^8 + 352498*x^9 + 1619014*x^10 + 7414134*x^11 + 33855996*x^12 +...
where
A(x)^2 = 1 + 4*x + 20*x^2 + 104*x^3 + 540*x^4 + 2780*x^5 + 14180*x^6 + 71688*x^7 + 359452*x^8 + 1788988*x^9 + 8844064*x^10 +...+ A274965(2*n+1)*x^n +...
		

Links

• Paul D. Hanna, Table of n, a(n) for n = 0..1024

Crossrefs

Cf. A274965, A275751.

Programs

PARI

{a(n) = my(A,B=1); for(k=0, 2*n, B = B^2 + x^(2*n+1-k) +O(x^(2*n+2))); A = sqrt( (B - subst(B,x,-x))/(2*x) ); polcoeff(A, 2*n)}
for(n=0, 30, print1(a(n), ", "))