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A190049 revision #5

A190049

Expansion of (16+24*x+2*x^2)/(x-1)^6

16, 120, 482, 1412, 3402, 7168, 13692, 24264, 40524, 64504, 98670, 145964, 209846, 294336, 404056, 544272, 720936, 940728, 1211098, 1540308, 1937474, 2412608, 2976660, 3641560, 4420260, 5326776, 6376230, 7584892

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

Equals the sixth right hand column of A175136.

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

G.f.: (16+24*x+2*x^2)/(x-1)^6

a(n) = 16*binomial(n+5,5)+24*binomial(n+4,5)+2*binomial(n+3,5)

a(n) = A091894(5,0)*binomial(n+5,5) + A091894(5,1)*binomial(n+4,5) + A091894(5,2)*binomial(n+3,5)

a(n) = (21*n^5+245*n^4+1105*n^3+2395*n^2+2474*n+960)/60

MAPLE

A190049 := proc(n) option remember; a(n):=(21*n^5 +245*n^4 +1105*n^3 +2395*n^2 +2474*n +960)/60 end: seq(A190049(n), n=0..27);

PROG

(MAGMA) [(21*n^5+245*n^4+1105*n^3+2395*n^2+2474*n+960)/60: n in [0..50]]; // Vincenzo Librandi, May 07 2011

CROSSREFS

Cf. A175136, A162148, A190048.

Related to A000389 and A091894.

Sequence in context: A316286 A306050 A248621 * A317227 A138571 A047641

Adjacent sequences: A190046 A190047 A190048 * A190050 A190051 A190052

KEYWORD

nonn,easy

AUTHOR

Johannes W. Meijer (meijgia(AT)hotmail.com), May 06 2011

STATUS

reviewed