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A060075 Third column of triangle A060074. 5
1, 14, 331, 12284, 663061, 49164554, 4798037791, 596372040824, 91991577140521, 17244625801225094, 3861296322290987251, 1017889493782391701364, 312043142223584185393981, 110072908401904868672053634 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Also third diagonal of triangle A060058.

a(n) is n-fold iterated sum of squares with last upper summation index 3 and other upper summation indices j[k]+1, k=2,...,n. See Comments A060061 for the threefold iteration with last upper summation index n.

LINKS

Table of n, a(n) for n=0..13.

FORMULA

a(n) = A060074(n+2, 2) = A060058(2+n, n).

a(n) = (1/4)*(A000364(n+1) - A000364(n)). - Benoit Cloitre, Apr 06 2003

G.f.: sin(x)^2/cos(x)^3 = x^2/2! + 14*x^4/4! + 331*x^6/6! + .... - Peter Bala, Oct 22 2019

CROSSREFS

Cf. A000364.

Sequence in context: A241373 A090598 A277769 * A222984 A278194 A035273

Adjacent sequences:  A060072 A060073 A060074 * A060076 A060077 A060078

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang, Mar 16 2001

STATUS

approved

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Last modified January 19 10:37 EST 2021. Contains 340269 sequences. (Running on oeis4.)