A155917 - cp's OEIS frontend

A155917 A difference triangle of Pascal-Sierpinski 5th level and the Pascal second derivative: a(n,k)= (4n - 4k + 1)a(n - 1, k - 1) + (4k - 3)a(n - 1, k); p(x,n)=(Sum[10n*(n - 1)a(n, k)x^(k - 1) - D[(x + 1)^(n + 2), {x, 2}]/(x + 1), {k, n}])/2.

n	a(n)
1	-3
2	-2
3	-2
4	0
5	240
6	0
7	3360
8	3360
9	-5
10	30380
11	105570
12	30380
13	-5
14	-18
15	232710
16	2032620
17	2032620
18	232710
19	-18
20	-42
21	1637748
22	31186890
23	74043480
24	31186890
25	1637748
26	-42
27	-80
28	10932880
29	420179760
30	1990483600
31	1990483600
32	420179760
33	10932880
34	-80

[-3, -2, -2, 0, 240, 0, 3360, 3360, -5, 30380, 105570, 30380, -5, -18, 232710, 2032620, 2032620, 232710, -18, -42, 1637748, 31186890, 74043480, 31186890, 1637748, -42, -80, 10932880, 420179760, 1990483600, 1990483600, 420179760, 10932880, -80]

cp's OEIS Frontend

A155917 A difference triangle of Pascal-Sierpinski 5th level and the Pascal second derivative: a(n,k)= (4n - 4k + 1)a(n - 1, k - 1) + (4k - 3)a(n - 1, k); p(x,n)=(Sum[10n*(n - 1)a(n, k)x^(k - 1) - D[(x + 1)^(n + 2), {x, 2}]/(x + 1), {k, n}])/2.

Table of values

List of values

cp's OEIS Frontend

A155917 A difference triangle of Pascal-Sierpinski 5th level and the Pascal second derivative: a(n,k)= (4*n - 4*k + 1)a(n - 1, k - 1) + (4*k - 3)a(n - 1, k); p(x,n)=(Sum[10*n*(n - 1)*a(n, k)*x^(k - 1) - D[(x + 1)^(n + 2), {x, 2}]/(x + 1), {k, n}])/2.

Table of values

List of values

A155917 A difference triangle of Pascal-Sierpinski 5th level and the Pascal second derivative: a(n,k)= (4n - 4k + 1)a(n - 1, k - 1) + (4k - 3)a(n - 1, k); p(x,n)=(Sum[10n*(n - 1)a(n, k)x^(k - 1) - D[(x + 1)^(n + 2), {x, 2}]/(x + 1), {k, n}])/2.