A379809 Coefficient of x^n in (3-sqrt(5+4*sqrt(1-36*x)))/12.

1, 11, 206, 4711, 119762, 3251262, 92306652, 2707246767, 81383125802, 2494303114138, 77649809235908, 2448551324091158, 78045772623110068, 2510492897120044508, 81392303609900487864, 2656907435381578839999, 87251781133687146226074, 2880554534221668509513154

Offset: 1

Author

N. J. A. Sloane, Feb 07 2025

Keywords

• nonn

Links

• David Broadhurst, Resurgent Integer Sequences, Rutgers Experimental Math Seminar, Feb 06 2025; Slides.
• David Broadhurst, Resurgent Integer Sequences, Rutgers Experimental Math Seminar, Feb 06 2025, Slide 6. [Local copy, with permission]

Crossrefs

Cf. A051862.

Programs

PARI

print(Vec((3-sqrt(5+4*sqrt(1-36*x+O(x^19))))/12)); \\ David Broadhurst, Feb 17 2025

Formula

D-finite with recurrence n*(n-1)*a(n) +14*(n-1)*(2*n-3)*a(n-1) -144*(4*n-7)*(4*n-9)*a(n-2)=0. - R. J. Mathar, Feb 18 2025

Extensions

Definition simplified by David Broadhurst, Feb 17 2025